88970400 has 180 divisors, whose sum is σ = 324694062. Its totient is φ = 23708160.

The previous prime is 88970383. The next prime is 88970423. The reversal of 88970400 is 407988.

It can be written as a sum of positive squares in 3 ways, for example, as 85599504 + 3370896 = 9252^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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 29 ways as a sum of consecutive naturals, for example, 64114 + ... + 65486.

Almost surely, 2^88970400 is an apocalyptic number.

88970400 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 88970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162347031).

88970400 is an abundant number, since it is smaller than the sum of its proper divisors (235723662).

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

88970400 is a wasteful number, since it uses less digits than its factorization.

88970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 88970400 is about 9432.4122047332. The cubic root of 88970400 is about 446.4250072706.

It can be divided in two parts, 889 and 70400, that added together give a square (71289 = 267²).

The spelling of 88970400 in words is "eighty-eight million, nine hundred seventy thousand, four hundred".