84936320 has 64 divisors (see below), whose sum is σ = 232070400. Its totient is φ = 29119488.

The previous prime is 84936281. The next prime is 84936323. The reversal of 84936320 is 2363948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (84936323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5000 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (3626100).

Almost surely, 2^84936320 is an apocalyptic number.

84936320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84936320 is an abundant number, since it is smaller than the sum of its proper divisors (147134080).

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

84936320 is a wasteful number, since it uses less digits than its factorization.

84936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985 (or 18973 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 84936320 is about 9216.0902773356. The cubic root of 84936320 is about 439.5731397400.

The spelling of 84936320 in words is "eighty-four million, nine hundred thirty-six thousand, three hundred twenty".