88354560 has 288 divisors, whose sum is σ = 341429760. Its totient is φ = 19021824.

The previous prime is 88354547. The next prime is 88354571. The reversal of 88354560 is 6545388.

88354560 = 917² + 918² + ... + 1011².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510634 + ... + 510806.

It is an arithmetic number, because the mean of its divisors is an integer number (1185520).

Almost surely, 2^88354560 is an apocalyptic number.

88354560 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 88354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170714880).

88354560 is an abundant number, since it is smaller than the sum of its proper divisors (253075200).

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

88354560 is a wasteful number, since it uses less digits than its factorization.

88354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 88354560 is about 9399.7106338440. The cubic root of 88354560 is about 445.3925921438.

The spelling of 88354560 in words is "eighty-eight million, three hundred fifty-four thousand, five hundred sixty".