85953672 has 96 divisors (see below), whose sum is σ = 267696000. Its totient is φ = 24406272.

The previous prime is 85953643. The next prime is 85953677. The reversal of 85953672 is 27635958.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85953677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99868 + ... + 100724.

It is an arithmetic number, because the mean of its divisors is an integer number (2788500).

Almost surely, 2^85953672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85953672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133848000).

85953672 is an abundant number, since it is smaller than the sum of its proper divisors (181742328).

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

85953672 is a wasteful number, since it uses less digits than its factorization.

85953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85953672 is about 9271.1203206517. The cubic root of 85953672 is about 441.3212215339.

The spelling of 85953672 in words is "eighty-five million, nine hundred fifty-three thousand, six hundred seventy-two".