10411920 has 60 divisors (see below), whose sum is σ = 34969116. Its totient is φ = 2776320.

The previous prime is 10411901. The next prime is 10411927. The reversal of 10411920 is 2911401.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 8573184 = 1356^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10411893 and 10411902.

It is not an unprimeable number, because it can be changed into a prime (10411927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6511 + ... + 7950.

Almost surely, 2^10411920 is an apocalyptic number.

10411920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10411920 is an abundant number, since it is smaller than the sum of its proper divisors (24557196).

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

10411920 is a wasteful number, since it uses less digits than its factorization.

10411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10411920 is about 3226.7506876113. The cubic root of 10411920 is about 218.3619383819.

The spelling of 10411920 in words is "ten million, four hundred eleven thousand, nine hundred twenty".