88094880 has 144 divisors (see below), whose sum is σ = 303567264. Its totient is φ = 23262720.

The previous prime is 88094879. The next prime is 88094893. The reversal of 88094880 is 8849088.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188407 + ... + 188873.

It is an arithmetic number, because the mean of its divisors is an integer number (2108106).

Almost surely, 2^88094880 is an apocalyptic number.

88094880 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 88094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151783632).

88094880 is an abundant number, since it is smaller than the sum of its proper divisors (215472384).

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

88094880 is a wasteful number, since it uses less digits than its factorization.

88094880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88094880 is about 9385.8872782492. The cubic root of 88094880 is about 444.9558176898.

It can be divided in two parts, 8809 and 4880, that added together give a square (13689 = 117²).

The spelling of 88094880 in words is "eighty-eight million, ninety-four thousand, eight hundred eighty".