85971204 has 72 divisors (see below), whose sum is σ = 241026240. Its totient is φ = 25617600.

The previous prime is 85971203. The next prime is 85971209. The reversal of 85971204 is 40217958.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (85971203) 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, 22377 + ... + 25935.

Almost surely, 2^85971204 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 85971204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120513120).

85971204 is an abundant number, since it is smaller than the sum of its proper divisors (155055036).

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

85971204 is a wasteful number, since it uses less digits than its factorization.

85971204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85971204 is about 9272.0657892403. The cubic root of 85971204 is about 441.3512249744.

It can be divided in two parts, 8597 and 1204, that added together give a square (9801 = 99²).

The spelling of 85971204 in words is "eighty-five million, nine hundred seventy-one thousand, two hundred four".