88139200 has 84 divisors (see below), whose sum is σ = 223999552. Its totient is φ = 34099200.

The previous prime is 88139173. The next prime is 88139201. The reversal of 88139200 is 293188.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88139201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48712 + ... + 50488.

Almost surely, 2^88139200 is an apocalyptic number.

88139200 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 88139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111999776).

88139200 is an abundant number, since it is smaller than the sum of its proper divisors (135860352).

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

88139200 is a wasteful number, since it uses less digits than its factorization.

88139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 88139200 is about 9388.2479728648. The cubic root of 88139200 is about 445.0304233713.

The spelling of 88139200 in words is "eighty-eight million, one hundred thirty-nine thousand, two hundred".