88202080 has 96 divisors (see below), whose sum is σ = 219252096. Its totient is φ = 33490944.

The previous prime is 88202057. The next prime is 88202087. The reversal of 88202080 is 8020288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88202087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278082 + ... + 278398.

It is an arithmetic number, because the mean of its divisors is an integer number (2283876).

Almost surely, 2^88202080 is an apocalyptic number.

88202080 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 88202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109626048).

88202080 is an abundant number, since it is smaller than the sum of its proper divisors (131050016).

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

88202080 is a wasteful number, since it uses less digits than its factorization.

88202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 88202080 is about 9391.5962434508. The cubic root of 88202080 is about 445.1362289645.

The spelling of 88202080 in words is "eighty-eight million, two hundred two thousand, eighty".