88648000 has 112 divisors (see below), whose sum is σ = 251057664. Its totient is φ = 30374400.

The previous prime is 88647991. The next prime is 88648057. The reversal of 88648000 is 84688.

88648000 = 287² + 288² + ... + 661².

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

It is a congruent number.

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, 55209 + ... + 56791.

Almost surely, 2^88648000 is an apocalyptic number.

88648000 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 88648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125528832).

88648000 is an abundant number, since it is smaller than the sum of its proper divisors (162409664).

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

88648000 is a wasteful number, since it uses less digits than its factorization.

88648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 88648000 is about 9415.3066864548. The cubic root of 88648000 is about 445.8851212635.

The spelling of 88648000 in words is "eighty-eight million, six hundred forty-eight thousand".