10407120 has 80 divisors (see below), whose sum is σ = 32652672. Its totient is φ = 2741760.

The previous prime is 10407119. The next prime is 10407127. The reversal of 10407120 is 2170401.

10407120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10407120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24510 + ... + 24930.

Almost surely, 2^10407120 is an apocalyptic number.

10407120 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 10407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326336).

10407120 is an abundant number, since it is smaller than the sum of its proper divisors (22245552).

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

10407120 is a wasteful number, since it uses less digits than its factorization.

10407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10407120 is about 3226.0068195836. The cubic root of 10407120 is about 218.3283775397.

Adding to 10407120 its reverse (2170401), we get a palindrome (12577521).

The spelling of 10407120 in words is "ten million, four hundred seven thousand, one hundred twenty".