88621680 has 320 divisors, whose sum is σ = 347120640. Its totient is φ = 18235392.

The previous prime is 88621679. The next prime is 88621699. The reversal of 88621680 is 8612688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828187 + ... + 828293.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^88621680 is an apocalyptic number.

88621680 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 88621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

88621680 is an abundant number, since it is smaller than the sum of its proper divisors (258498960).

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

88621680 is a wasteful number, since it uses less digits than its factorization.

88621680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88621680 is about 9413.9088587048. The cubic root of 88621680 is about 445.8409884459.

The spelling of 88621680 in words is "eighty-eight million, six hundred twenty-one thousand, six hundred eighty".