88691400 has 144 divisors (see below), whose sum is σ = 340454400. Its totient is φ = 20269440.

The previous prime is 88691399. The next prime is 88691401. The reversal of 88691400 is 419688.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88691399) and next prime (88691401).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (88691401) by changing a digit.

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, 9081 + ... + 16119.

Almost surely, 2^88691400 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 88691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

88691400 is an abundant number, since it is smaller than the sum of its proper divisors (251763000).

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

88691400 is a wasteful number, since it uses less digits than its factorization.

88691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7056 counting only the distinct ones).

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

The square root of 88691400 is about 9417.6111620729. The cubic root of 88691400 is about 445.9578743887.

The spelling of 88691400 in words is "eighty-eight million, six hundred ninety-one thousand, four hundred".