88434304 has 64 divisors (see below), whose sum is σ = 202694400. Its totient is φ = 37647360.

The previous prime is 88434299. The next prime is 88434319. The reversal of 88434304 is 40343488.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×88434304² = 15641252247928832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88434304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204969 + ... + 205399.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 2^88434304 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 88434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101347200).

88434304 is an abundant number, since it is smaller than the sum of its proper divisors (114260096).

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

88434304 is a wasteful number, since it uses less digits than its factorization.

88434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 88434304 is about 9403.9515098707. The cubic root of 88434304 is about 445.5265475272.

The spelling of 88434304 in words is "eighty-eight million, four hundred thirty-four thousand, three hundred four".