88416720 has 240 divisors, whose sum is σ = 346799232. Its totient is φ = 19768320.

The previous prime is 88416719. The next prime is 88416739. The reversal of 88416720 is 2761488.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266955 + ... + 267285.

Almost surely, 2^88416720 is an apocalyptic number.

88416720 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 88416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173399616).

88416720 is an abundant number, since it is smaller than the sum of its proper divisors (258382512).

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

88416720 is a wasteful number, since it uses less digits than its factorization.

88416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88416720 is about 9403.0165372608. The cubic root of 88416720 is about 445.4970165354.

The spelling of 88416720 in words is "eighty-eight million, four hundred sixteen thousand, seven hundred twenty".