89681400 has 72 divisors (see below), whose sum is σ = 301186080. Its totient is φ = 23914560.

The previous prime is 89681399. The next prime is 89681401. The reversal of 89681400 is 418698.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89681399) and next prime (89681401).

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89681401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23112 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (4183140).

Almost surely, 2^89681400 is an apocalyptic number.

It is an amenable number.

89681400 is an abundant number, since it is smaller than the sum of its proper divisors (211504680).

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

89681400 is a wasteful number, since it uses less digits than its factorization.

89681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49845 (or 49833 counting only the distinct ones).

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

The square root of 89681400 is about 9470.0263991184. The cubic root of 89681400 is about 447.6110436747.

The spelling of 89681400 in words is "eighty-nine million, six hundred eighty-one thousand, four hundred".