10485756 has 18 divisors (see below), whose sum is σ = 26505752. Its totient is φ = 3495240.

The previous prime is 10485751. The next prime is 10485767. The reversal of 10485756 is 65758401.

10485756 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 291271 = 10485756 / (1 + 0 + 4 + 8 + 5 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10485756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145600 + ... + 145671.

Almost surely, 2^10485756 is an apocalyptic number.

It is an amenable number.

10485756 is an abundant number, since it is smaller than the sum of its proper divisors (16019996).

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

10485756 is a wasteful number, since it uses less digits than its factorization.

10485756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291281 (or 291276 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 10485756 is about 3238.1717063800. The cubic root of 10485756 is about 218.8768933430.

The spelling of 10485756 in words is "ten million, four hundred eighty-five thousand, seven hundred fifty-six".