88608480 has 96 divisors (see below), whose sum is σ = 280433664. Its totient is φ = 23517696.

The previous prime is 88608479. The next prime is 88608493. The reversal of 88608480 is 8480688.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 175909 + ... + 176411.

It is an arithmetic number, because the mean of its divisors is an integer number (2921184).

Almost surely, 2^88608480 is an apocalyptic number.

88608480 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 88608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140216832).

88608480 is an abundant number, since it is smaller than the sum of its proper divisors (191825184).

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

88608480 is a wasteful number, since it uses less digits than its factorization.

88608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 88608480 is about 9413.2077423161. The cubic root of 88608480 is about 445.8188516758.

The spelling of 88608480 in words is "eighty-eight million, six hundred eight thousand, four hundred eighty".