88418304 has 240 divisors, whose sum is σ = 291351060. Its totient is φ = 26542080.

The previous prime is 88418299. The next prime is 88418333. The reversal of 88418304 is 40381488.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 18662400 = 8352^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156524 + ... + 2156564.

Almost surely, 2^88418304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145675530).

88418304 is an abundant number, since it is smaller than the sum of its proper divisors (202932756).

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

88418304 is a wasteful number, since it uses less digits than its factorization.

88418304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88418304 is about 9403.1007651732. The cubic root of 88418304 is about 445.4996769035.

The spelling of 88418304 in words is "eighty-eight million, four hundred eighteen thousand, three hundred four".