10858672 has 40 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 4879680.

The previous prime is 10858667. The next prime is 10858697. The reversal of 10858672 is 27685801.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17829 + ... + 18427.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^10858672 is an apocalyptic number.

10858672 is the 1648-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10858672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

10858672 is an abundant number, since it is smaller than the sum of its proper divisors (12354128).

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

10858672 is a wasteful number, since it uses less digits than its factorization.

10858672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 10858672 is about 3295.2499146499. The cubic root of 10858672 is about 221.4414440958.

The spelling of 10858672 in words is "ten million, eight hundred fifty-eight thousand, six hundred seventy-two".