88401600 has 252 divisors, whose sum is σ = 359495344. Its totient is φ = 20183040.

The previous prime is 88401587. The next prime is 88401611. The reversal of 88401600 is 610488.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100362 + ... + 101238.

Almost surely, 2^88401600 is an apocalyptic number.

88401600 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 88401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179747672).

88401600 is an abundant number, since it is smaller than the sum of its proper divisors (271093744).

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

88401600 is a wasteful number, since it uses less digits than its factorization.

88401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88401600 is about 9402.2125055755. The cubic root of 88401600 is about 445.4716205134.

It can be divided in two parts, 8840 and 1600, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 88401600 in words is "eighty-eight million, four hundred one thousand, six hundred".