88259680 has 48 divisors (see below), whose sum is σ = 211955184. Its totient is φ = 34721280.

The previous prime is 88259663. The next prime is 88259687. The reversal of 88259680 is 8695288.

It is a happy number.

It is a super-2 number, since 2×88259680² = 15579542227404800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88259680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88259687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5239 + ... + 14281.

It is an arithmetic number, because the mean of its divisors is an integer number (4415733).

Almost surely, 2^88259680 is an apocalyptic number.

88259680 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 88259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105977592).

88259680 is an abundant number, since it is smaller than the sum of its proper divisors (123695504).

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

88259680 is a wasteful number, since it uses less digits than its factorization.

88259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 88259680 is about 9394.6623143144. The cubic root of 88259680 is about 445.2331059977.

The spelling of 88259680 in words is "eighty-eight million, two hundred fifty-nine thousand, six hundred eighty".