10056690 has 128 divisors (see below), whose sum is σ = 32555520. Its totient is φ = 2156544.

The previous prime is 10056677. The next prime is 10056691. The reversal of 10056690 is 9665001.

10056690 is a `hidden beast` number, since 10 + 0 + 566 + 90 = 666.

It is a super-2 number, since 2×10056690² = 202274027512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10056691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31974 + ... + 32286.

It is an arithmetic number, because the mean of its divisors is an integer number (254340).

Almost surely, 2^10056690 is an apocalyptic number.

10056690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277760).

10056690 is an abundant number, since it is smaller than the sum of its proper divisors (22498830).

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

10056690 is a wasteful number, since it uses less digits than its factorization.

10056690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10056690 is about 3171.2284685907. The cubic root of 10056690 is about 215.8498184447.

The spelling of 10056690 in words is "ten million, fifty-six thousand, six hundred ninety".