84590640 has 120 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 21227520.

The previous prime is 84590633. The next prime is 84590659. The reversal of 84590640 is 4609548.

84590640 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 0 + 640 = 666.

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 junction number, because it is equal to n+sod(n) for n = 84590595 and 84590604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8785 + ... + 15695.

Almost surely, 2^84590640 is an apocalyptic number.

84590640 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 84590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

84590640 is an abundant number, since it is smaller than the sum of its proper divisors (216247248).

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

84590640 is a wasteful number, since it uses less digits than its factorization.

84590640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84590640 is about 9197.3170000821. The cubic root of 84590640 is about 438.9759933462.

The spelling of 84590640 in words is "eighty-four million, five hundred ninety thousand, six hundred forty".