88934400 has 216 divisors, whose sum is σ = 320155290. Its totient is φ = 23592960.

The previous prime is 88934389. The next prime is 88934413. The reversal of 88934400 is 443988.

It can be written as a sum of positive squares in 3 ways, for example, as 54641664 + 34292736 = 7392^2 + 5856^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460704 + ... + 460896.

Almost surely, 2^88934400 is an apocalyptic number.

88934400 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 88934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160077645).

88934400 is an abundant number, since it is smaller than the sum of its proper divisors (231220890).

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

88934400 is a wasteful number, since it uses less digits than its factorization.

88934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88934400 is about 9430.5036981065. The cubic root of 88934400 is about 446.3647869861.

The spelling of 88934400 in words is "eighty-eight million, nine hundred thirty-four thousand, four hundred".