84500640 has 288 divisors, whose sum is σ = 336825216. Its totient is φ = 18892800.

The previous prime is 84500629. The next prime is 84500651. The reversal of 84500640 is 4600548.

It is an interprime number because it is at equal distance from previous prime (84500629) and next prime (84500651).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836590 + ... + 836690.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^84500640 is an apocalyptic number.

84500640 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 84500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

84500640 is an abundant number, since it is smaller than the sum of its proper divisors (252324576).

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

84500640 is a wasteful number, since it uses less digits than its factorization.

84500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84500640 is about 9192.4229667700. The cubic root of 84500640 is about 438.8202556305.

The spelling of 84500640 in words is "eighty-four million, five hundred thousand, six hundred forty".