88134400 has 108 divisors (see below), whose sum is σ = 223548192. Its totient is φ = 34385920.

The previous prime is 88134337. The next prime is 88134401. The reversal of 88134400 is 443188.

It is not an unprimeable number, because it can be changed into a prime (88134401) 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, 300654 + ... + 300946.

Almost surely, 2^88134400 is an apocalyptic number.

88134400 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 88134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111774096).

88134400 is an abundant number, since it is smaller than the sum of its proper divisors (135413792).

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

88134400 is a wasteful number, since it uses less digits than its factorization.

88134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 88134400 is about 9387.9923306317. The cubic root of 88134400 is about 445.0223445414.

Adding to 88134400 its reverse (443188), we get a palindrome (88577588).

The spelling of 88134400 in words is "eighty-eight million, one hundred thirty-four thousand, four hundred".