84933760 has 32 divisors (see below), whose sum is σ = 203046300. Its totient is φ = 33973248.

The previous prime is 84933749. The next prime is 84933763. The reversal of 84933760 is 6733948.

It can be written as a sum of positive squares in 2 ways, for example, as 84492864 + 440896 = 9192^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (84933763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65715 + ... + 66994.

Almost surely, 2^84933760 is an apocalyptic number.

84933760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84933760 is an abundant number, since it is smaller than the sum of its proper divisors (118112540).

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

84933760 is a wasteful number, since it uses less digits than its factorization.

84933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132728 (or 132716 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 84933760 is about 9215.9513887607. The cubic root of 84933760 is about 439.5687234175.

The spelling of 84933760 in words is "eighty-four million, nine hundred thirty-three thousand, seven hundred sixty".