86042772 has 18 divisors (see below), whose sum is σ = 217497098. Its totient is φ = 28680912.

The previous prime is 86042767. The next prime is 86042779. The reversal of 86042772 is 27724068.

It can be written as a sum of positive squares in only one way, i.e., 46049796 + 39992976 = 6786^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×86042772² = 14806717226887968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2390077 = 86042772 / (8 + 6 + 0 + 4 + 2 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86042779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1195003 + ... + 1195074.

Almost surely, 2^86042772 is an apocalyptic number.

It is an amenable number.

86042772 is an abundant number, since it is smaller than the sum of its proper divisors (131454326).

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

86042772 is a wasteful number, since it uses less digits than its factorization.

86042772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390087 (or 2390082 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 86042772 is about 9275.9243205192. The cubic root of 86042772 is about 441.4736607906.

The spelling of 86042772 in words is "eighty-six million, forty-two thousand, seven hundred seventy-two".