89129760 has 192 divisors, whose sum is σ = 306633600. Its totient is φ = 21676032.

The previous prime is 89129749. The next prime is 89129771. The reversal of 89129760 is 6792198.

It is an interprime number because it is at equal distance from previous prime (89129749) and next prime (89129771).

It is a super-2 number, since 2×89129760² = 15888228235315200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264312 + ... + 264648.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^89129760 is an apocalyptic number.

89129760 is a gapful number since it is divisible by the number (80) 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 89129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

89129760 is an abundant number, since it is smaller than the sum of its proper divisors (217503840).

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

89129760 is a wasteful number, since it uses less digits than its factorization.

89129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 89129760 is about 9440.8558934029. The cubic root of 89129760 is about 446.6913874588.

The spelling of 89129760 in words is "eighty-nine million, one hundred twenty-nine thousand, seven hundred sixty".