89249160 has 256 divisors, whose sum is σ = 359976960. Its totient is φ = 17095680.

The previous prime is 89249141. The next prime is 89249179. The reversal of 89249160 is 6194298.

It is an interprime number because it is at equal distance from previous prime (89249141) and next prime (89249179).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119749 + ... + 120491.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^89249160 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 89249160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

89249160 is an abundant number, since it is smaller than the sum of its proper divisors (270727800).

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

89249160 is a wasteful number, since it uses less digits than its factorization.

89249160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 89249160 is about 9447.1773562266. The cubic root of 89249160 is about 446.8907640127.

The spelling of 89249160 in words is "eighty-nine million, two hundred forty-nine thousand, one hundred sixty".