89967120 has 120 divisors (see below), whose sum is σ = 287148288. Its totient is φ = 23301120.

The previous prime is 89967113. The next prime is 89967127. The reversal of 89967120 is 2176998.

It is an interprime number because it is at equal distance from previous prime (89967113) and next prime (89967127).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (89967127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403329 + ... + 403551.

Almost surely, 2^89967120 is an apocalyptic number.

89967120 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 89967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143574144).

89967120 is an abundant number, since it is smaller than the sum of its proper divisors (197181168).

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

89967120 is a wasteful number, since it uses less digits than its factorization.

89967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 274 counting only the distinct ones).

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

The square root of 89967120 is about 9485.0998940443. The cubic root of 89967120 is about 448.0858944574.

The spelling of 89967120 in words is "eighty-nine million, nine hundred sixty-seven thousand, one hundred twenty".