84628640 has 24 divisors (see below), whose sum is σ = 199935540. Its totient is φ = 33851392.

The previous prime is 84628637. The next prime is 84628697. The reversal of 84628640 is 4682648.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 7118224 = 8804^2 + 2668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84628594 and 84628603.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264305 + ... + 264624.

Almost surely, 2^84628640 is an apocalyptic number.

84628640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84628640 is an abundant number, since it is smaller than the sum of its proper divisors (115306900).

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

84628640 is a wasteful number, since it uses less digits than its factorization.

84628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528944 (or 528936 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 84628640 is about 9199.3825879784. The cubic root of 84628640 is about 439.0417161044.

The spelling of 84628640 in words is "eighty-four million, six hundred twenty-eight thousand, six hundred forty".