88896096 has 96 divisors (see below), whose sum is σ = 267724800. Its totient is φ = 28667520.

The previous prime is 88896091. The next prime is 88896103. The reversal of 88896096 is 69069888.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88896091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25125 + ... + 28443.

It is an arithmetic number, because the mean of its divisors is an integer number (2788800).

Almost surely, 2^88896096 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 88896096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133862400).

88896096 is an abundant number, since it is smaller than the sum of its proper divisors (178828704).

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

88896096 is a wasteful number, since it uses less digits than its factorization.

88896096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 88896096 is about 9428.4726228589. The cubic root of 88896096 is about 446.3006947563.

The spelling of 88896096 in words is "eighty-eight million, eight hundred ninety-six thousand, ninety-six".