89514720 has 120 divisors (see below), whose sum is σ = 315958104. Its totient is φ = 23867136.

The previous prime is 89514713. The next prime is 89514727. The reversal of 89514720 is 2741598.

It is an interprime number because it is at equal distance from previous prime (89514713) and next prime (89514727).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89514727) 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 19 ways as a sum of consecutive naturals, for example, 9507 + ... + 16413.

Almost surely, 2^89514720 is an apocalyptic number.

89514720 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 89514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157979052).

89514720 is an abundant number, since it is smaller than the sum of its proper divisors (226443384).

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

89514720 is a wasteful number, since it uses less digits than its factorization.

89514720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 89514720 is about 9461.2219084006. The cubic root of 89514720 is about 447.3335648142. Note that the first 3 decimals are identical.

The spelling of 89514720 in words is "eighty-nine million, five hundred fourteen thousand, seven hundred twenty".