88034432 has 64 divisors (see below), whose sum is σ = 193881600. Its totient is φ = 39604224.

The previous prime is 88034413. The next prime is 88034461. The reversal of 88034432 is 23443088.

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

It is a super-2 number, since 2×88034432² = 15500122435125248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 49169 + ... + 50927.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^88034432 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 88034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

88034432 is an abundant number, since it is smaller than the sum of its proper divisors (105847168).

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

88034432 is a wasteful number, since it uses less digits than its factorization.

88034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 88034432 is about 9382.6665719293. Note that the first 3 decimals coincide. The cubic root of 88034432 is about 444.8540227330.

The spelling of 88034432 in words is "eighty-eight million, thirty-four thousand, four hundred thirty-two".