88342080 has 112 divisors (see below), whose sum is σ = 292754304. Its totient is φ = 22528000.

The previous prime is 88342073. The next prime is 88342087. The reversal of 88342080 is 8024388.

It is an interprime number because it is at equal distance from previous prime (88342073) and next prime (88342087).

It is not an unprimeable number, because it can be changed into a prime (88342087) 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 15 ways as a sum of consecutive naturals, for example, 20080 + ... + 24080.

Almost surely, 2^88342080 is an apocalyptic number.

88342080 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 88342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146377152).

88342080 is an abundant number, since it is smaller than the sum of its proper divisors (204412224).

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

88342080 is a wasteful number, since it uses less digits than its factorization.

88342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 88342080 is about 9399.0467601773. The cubic root of 88342080 is about 445.3716207256.

The spelling of 88342080 in words is "eighty-eight million, three hundred forty-two thousand, eighty".