88104960 has 168 divisors, whose sum is σ = 306689760. Its totient is φ = 23396352.

The previous prime is 88104851. The next prime is 88104983. The reversal of 88104960 is 6940188.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368521 + ... + 368759.

Almost surely, 2^88104960 is an apocalyptic number.

88104960 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 88104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344880).

88104960 is an abundant number, since it is smaller than the sum of its proper divisors (218584800).

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

88104960 is a wasteful number, since it uses less digits than its factorization.

88104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88104960 is about 9386.4242392937. The cubic root of 88104960 is about 444.9727879669.

The spelling of 88104960 in words is "eighty-eight million, one hundred four thousand, nine hundred sixty".