88538400 has 144 divisors (see below), whose sum is σ = 320292000. Its totient is φ = 23604480.

The previous prime is 88538377. The next prime is 88538407. The reversal of 88538400 is 483588.

88538400 is a `hidden beast` number, since 88 + 538 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (88538407) 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 23 ways as a sum of consecutive naturals, for example, 19551 + ... + 23649.

It is an arithmetic number, because the mean of its divisors is an integer number (2224250).

Almost surely, 2^88538400 is an apocalyptic number.

88538400 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 88538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160146000).

88538400 is an abundant number, since it is smaller than the sum of its proper divisors (231753600).

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

88538400 is a wasteful number, since it uses less digits than its factorization.

88538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88538400 is about 9409.4845767449. The cubic root of 88538400 is about 445.7012887165.

The spelling of 88538400 in words is "eighty-eight million, five hundred thirty-eight thousand, four hundred".