86754864 has 80 divisors (see below), whose sum is σ = 264427520. Its totient is φ = 23984640.

The previous prime is 86754853. The next prime is 86754869. The reversal of 86754864 is 46845768.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86754869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6252 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (3305344).

Almost surely, 2^86754864 is an apocalyptic number.

86754864 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 86754864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132213760).

86754864 is an abundant number, since it is smaller than the sum of its proper divisors (177672656).

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

86754864 is a wasteful number, since it uses less digits than its factorization.

86754864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8372 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 86754864 is about 9314.2291146396. The cubic root of 86754864 is about 442.6881985381.

The spelling of 86754864 in words is "eighty-six million, seven hundred fifty-four thousand, eight hundred sixty-four".