10056080 has 40 divisors (see below), whose sum is σ = 23512632. Its totient is φ = 3999744.

The previous prime is 10056001. The next prime is 10056089. The reversal of 10056080 is 8065001.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 9560464 = 704^2 + 3092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10056080² = 202249489932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10056089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26774 + ... + 27146.

Almost surely, 2^10056080 is an apocalyptic number.

10056080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056080 is an abundant number, since it is smaller than the sum of its proper divisors (13456552).

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

10056080 is a wasteful number, since it uses less digits than its factorization.

10056080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10056080 is about 3171.1322898927. The cubic root of 10056080 is about 215.8454541509.

The spelling of 10056080 in words is "ten million, fifty-six thousand, eighty".