88563280 has 160 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 30412800.

The previous prime is 88563253. The next prime is 88563283. The reversal of 88563280 is 8236588.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88563283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321807 + ... + 1321873.

Almost surely, 2^88563280 is an apocalyptic number.

88563280 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 88563280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

88563280 is an abundant number, since it is smaller than the sum of its proper divisors (149421488).

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

88563280 is a wasteful number, since it uses less digits than its factorization.

88563280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 88563280 is about 9410.8065541695. The cubic root of 88563280 is about 445.7430333513.

The spelling of 88563280 in words is "eighty-eight million, five hundred sixty-three thousand, two hundred eighty".