88716264 has 128 divisors (see below), whose sum is σ = 278880000. Its totient is φ = 23369472.

The previous prime is 88716259. The next prime is 88716281. The reversal of 88716264 is 46261788.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106602 + ... + 107430.

It is an arithmetic number, because the mean of its divisors is an integer number (2178750).

Almost surely, 2^88716264 is an apocalyptic number.

88716264 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 88716264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139440000).

88716264 is an abundant number, since it is smaller than the sum of its proper divisors (190163736).

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

88716264 is a wasteful number, since it uses less digits than its factorization.

88716264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 854 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 88716264 is about 9418.9311495519. The cubic root of 88716264 is about 445.9995441957. Note that the first 3 decimals are identical.

The spelling of 88716264 in words is "eighty-eight million, seven hundred sixteen thousand, two hundred sixty-four".