10074960 has 120 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 2301696.

The previous prime is 10074947. The next prime is 10074983. The reversal of 10074960 is 6947001.

10074960 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 (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4041 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (322400).

Almost surely, 2^10074960 is an apocalyptic number.

10074960 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 10074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344000).

10074960 is an abundant number, since it is smaller than the sum of its proper divisors (28613040).

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

10074960 is a wasteful number, since it uses less digits than its factorization.

10074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10074960 is about 3174.1077486437. The cubic root of 10074960 is about 215.9804509057.

The spelling of 10074960 in words is "ten million, seventy-four thousand, nine hundred sixty".