84788640 has 192 divisors, whose sum is σ = 312681600. Its totient is φ = 21399552.

The previous prime is 84788569. The next prime is 84788653. The reversal of 84788640 is 4688748.

It is a super-2 number, since 2×84788640² = 14378226946099200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81564 + ... + 82596.

It is an arithmetic number, because the mean of its divisors is an integer number (1628550).

Almost surely, 2^84788640 is an apocalyptic number.

84788640 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 84788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156340800).

84788640 is an abundant number, since it is smaller than the sum of its proper divisors (227892960).

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

84788640 is a wasteful number, since it uses less digits than its factorization.

84788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 84788640 is about 9208.0747173337. The cubic root of 84788640 is about 439.3182278985.

The spelling of 84788640 in words is "eighty-four million, seven hundred eighty-eight thousand, six hundred forty".