84928680 has 96 divisors (see below), whose sum is σ = 277360200. Its totient is φ = 22537728.

The previous prime is 84928667. The next prime is 84928691. The reversal of 84928680 is 8682948.

84928680 = T₂₇₁ + T₂₇₂ + ... + T₈₀₈.

It is a happy number.

84928680 is a `hidden beast` number, since 8 + 492 + 86 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62631396 + 22297284 = 7914^2 + 4722^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96402 + ... + 97278.

Almost surely, 2^84928680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84928680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138680100).

84928680 is an abundant number, since it is smaller than the sum of its proper divisors (192431520).

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

84928680 is a wasteful number, since it uses less digits than its factorization.

84928680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 84928680 is about 9215.6757755468. The cubic root of 84928680 is about 439.5599595148.

The spelling of 84928680 in words is "eighty-four million, nine hundred twenty-eight thousand, six hundred eighty".