88096960 has 112 divisors (see below), whose sum is σ = 243742464. Its totient is φ = 29703168.

The previous prime is 88096933. The next prime is 88096991. The reversal of 88096960 is 6969088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×88096960² = 15522148722483200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88096960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149787 + ... + 150373.

It is an arithmetic number, because the mean of its divisors is an integer number (2176272).

Almost surely, 2^88096960 is an apocalyptic number.

88096960 is a gapful number since it is divisible by the number (80) 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 88096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121871232).

88096960 is an abundant number, since it is smaller than the sum of its proper divisors (155645504).

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

88096960 is a wasteful number, since it uses less digits than its factorization.

88096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 88096960 is about 9385.9980822500. The cubic root of 88096960 is about 444.9593195990.

The spelling of 88096960 in words is "eighty-eight million, ninety-six thousand, nine hundred sixty".