89077968 has 140 divisors (see below), whose sum is σ = 296001888. Its totient is φ = 25427520.

The previous prime is 89077957. The next prime is 89077969. The reversal of 89077968 is 86977098.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89077969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81103 + ... + 82193.

Almost surely, 2^89077968 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 89077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148000944).

89077968 is an abundant number, since it is smaller than the sum of its proper divisors (206923920).

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

89077968 is a wasteful number, since it uses less digits than its factorization.

89077968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 89077968 is about 9438.1125231690. The cubic root of 89077968 is about 446.6048487504.

The spelling of 89077968 in words is "eighty-nine million, seventy-seven thousand, nine hundred sixty-eight".