89056968 has 192 divisors, whose sum is σ = 302090880. Its totient is φ = 21288960.

The previous prime is 89056967. The next prime is 89057051. The reversal of 89056968 is 86965098.

It is a Cunningham number, because it is equal to 9437²-1.

It is a super-2 number, since 2×89056968² = 15862287098706048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89056968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89056967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264096 + ... + 264432.

It is an arithmetic number, because the mean of its divisors is an integer number (1573390).

Almost surely, 2^89056968 is an apocalyptic number.

89056968 is a gapful number since it is divisible by the number (88) 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 89056968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151045440).

89056968 is an abundant number, since it is smaller than the sum of its proper divisors (213033912).

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

89056968 is a wasteful number, since it uses less digits than its factorization.

89056968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 89056968 is about 9436.9999470171. Note that the first 4 decimals coincide. The cubic root of 89056968 is about 446.5697505133.

The spelling of 89056968 in words is "eighty-nine million, fifty-six thousand, nine hundred sixty-eight".