88416900 has 288 divisors, whose sum is σ = 335395200. Its totient is φ = 19699200.

The previous prime is 88416883. The next prime is 88416907. The reversal of 88416900 is 961488.

It is a happy number.

It is a super-2 number, since 2×88416900² = 15635096411220000, which contains 22 as substring.

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 (88416907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385986 + ... + 386214.

Almost surely, 2^88416900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167697600).

88416900 is an abundant number, since it is smaller than the sum of its proper divisors (246978300).

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

88416900 is a wasteful number, since it uses less digits than its factorization.

88416900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88416900 is about 9403.0261086525. The cubic root of 88416900 is about 445.4973188516.

The spelling of 88416900 in words is "eighty-eight million, four hundred sixteen thousand, nine hundred".