84612640 has 96 divisors (see below), whose sum is σ = 235920384. Its totient is φ = 28062720.

The previous prime is 84612637. The next prime is 84612659. The reversal of 84612640 is 4621648.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33502 + ... + 35938.

It is an arithmetic number, because the mean of its divisors is an integer number (2457504).

Almost surely, 2^84612640 is an apocalyptic number.

84612640 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 84612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117960192).

84612640 is an abundant number, since it is smaller than the sum of its proper divisors (151307744).

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

84612640 is a wasteful number, since it uses less digits than its factorization.

84612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 84612640 is about 9198.5129232936. The cubic root of 84612640 is about 439.0140457625.

The spelling of 84612640 in words is "eighty-four million, six hundred twelve thousand, six hundred forty".