88222160 has 80 divisors (see below), whose sum is σ = 226391760. Its totient is φ = 31764480.

The previous prime is 88222139. The next prime is 88222193. The reversal of 88222160 is 6122288.

It can be written as a sum of positive squares in 8 ways, for example, as 39891856 + 48330304 = 6316^2 + 6952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41606 + ... + 43674.

It is an arithmetic number, because the mean of its divisors is an integer number (2829897).

Almost surely, 2^88222160 is an apocalyptic number.

88222160 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 88222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113195880).

88222160 is an abundant number, since it is smaller than the sum of its proper divisors (138169600).

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

88222160 is a wasteful number, since it uses less digits than its factorization.

88222160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 88222160 is about 9392.6652234603. The cubic root of 88222160 is about 445.1700061622.

The spelling of 88222160 in words is "eighty-eight million, two hundred twenty-two thousand, one hundred sixty".