89619840 has 96 divisors (see below), whose sum is σ = 309488400. Its totient is φ = 23897088.

The previous prime is 89619823. The next prime is 89619841. The reversal of 89619840 is 4891698.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89619841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2020 + ... + 13539.

Almost surely, 2^89619840 is an apocalyptic number.

89619840 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 89619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154744200).

89619840 is an abundant number, since it is smaller than the sum of its proper divisors (219868560).

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

89619840 is a wasteful number, since it uses less digits than its factorization.

89619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15584 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89619840 is about 9466.7755862279. The cubic root of 89619840 is about 447.5086023543.

It can be divided in two parts, 896 and 19840, that added together give a 4-th power (20736 = 12⁴).

The spelling of 89619840 in words is "eighty-nine million, six hundred nineteen thousand, eight hundred forty".