86511264 has 144 divisors (see below), whose sum is σ = 269928288. Its totient is φ = 24181248.

The previous prime is 86511259. The next prime is 86511277. The reversal of 86511264 is 46211568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249139 + ... + 249485.

It is an arithmetic number, because the mean of its divisors is an integer number (1874502).

Almost surely, 2^86511264 is an apocalyptic number.

86511264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86511264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134964144).

86511264 is an abundant number, since it is smaller than the sum of its proper divisors (183417024).

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

86511264 is a wasteful number, since it uses less digits than its factorization.

86511264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 86511264 is about 9301.1431555481. The cubic root of 86511264 is about 442.2734669910.

The spelling of 86511264 in words is "eighty-six million, five hundred eleven thousand, two hundred sixty-four".