10857672 has 128 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 3011904.

The previous prime is 10857659. The next prime is 10857677. The reversal of 10857672 is 27675801.

10857672 is a `hidden beast` number, since 10 + 8 + 576 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10857677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64933 + ... + 65099.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 2^10857672 is an apocalyptic number.

10857672 is a gapful number since it is divisible by the number (12) 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 10857672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

10857672 is an abundant number, since it is smaller than the sum of its proper divisors (24623928).

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

10857672 is a wasteful number, since it uses less digits than its factorization.

10857672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10857672 is about 3295.0981775965. The cubic root of 10857672 is about 221.4346462037.

The spelling of 10857672 in words is "ten million, eight hundred fifty-seven thousand, six hundred seventy-two".