88438000 has 80 divisors (see below), whose sum is σ = 244430784. Its totient is φ = 30316800.

The previous prime is 88437997. The next prime is 88438001. The reversal of 88438000 is 83488.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88438001) 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, 10842 + ... + 17158.

Almost surely, 2^88438000 is an apocalyptic number.

88438000 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 88438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122215392).

88438000 is an abundant number, since it is smaller than the sum of its proper divisors (155992784).

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

88438000 is a wasteful number, since it uses less digits than its factorization.

88438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 88438000 is about 9404.1480209533. The cubic root of 88438000 is about 445.5327541804.

The spelling of 88438000 in words is "eighty-eight million, four hundred thirty-eight thousand".