86953672 has 32 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 39530304.

The previous prime is 86953651. The next prime is 86953717. The reversal of 86953672 is 27635968.

It is a Smith number, since the sum of its digits (46) 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, 729 + ... + 13207.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^86953672 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 86953672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

86953672 is an abundant number, since it is smaller than the sum of its proper divisors (91260728).

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

86953672 is a wasteful number, since it uses less digits than its factorization.

86953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12565 (or 12561 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 86953672 is about 9324.8952809133. The cubic root of 86953672 is about 443.0260962602.

The spelling of 86953672 in words is "eighty-six million, nine hundred fifty-three thousand, six hundred seventy-two".