85950972 has 36 divisors (see below), whose sum is σ = 224276416. Its totient is φ = 27725760.

The previous prime is 85950971. The next prime is 85950979. The reversal of 85950972 is 27905958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85950971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37393 + ... + 39624.

Almost surely, 2^85950972 is an apocalyptic number.

It is an amenable number.

85950972 is an abundant number, since it is smaller than the sum of its proper divisors (138325444).

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

85950972 is a wasteful number, since it uses less digits than its factorization.

85950972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77058 (or 77053 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85950972 is about 9270.9747060382. The cubic root of 85950972 is about 441.3166005183.

The spelling of 85950972 in words is "eighty-five million, nine hundred fifty thousand, nine hundred seventy-two".