10415520 has 96 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 2776320.

The previous prime is 10415519. The next prime is 10415533. The reversal of 10415520 is 2551401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10415493 and 10415502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (379890).

Almost surely, 2^10415520 is an apocalyptic number.

10415520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234720).

10415520 is an abundant number, since it is smaller than the sum of its proper divisors (26053920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10415520 is a wasteful number, since it uses less digits than its factorization.

10415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10415520 is about 3227.3084761144. The cubic root of 10415520 is about 218.3871022452.

Adding to 10415520 its reverse (2551401), we get a palindrome (12966921).

It can be divided in two parts, 1041 and 5520, that added together give a 8-th power (6561 = 3⁸).

The spelling of 10415520 in words is "ten million, four hundred fifteen thousand, five hundred twenty".