84755520 has 84 divisors (see below), whose sum is σ = 291533580. Its totient is φ = 22600704.

The previous prime is 84755513. The next prime is 84755543. The reversal of 84755520 is 2555748.

It is a happy number.

84755520 is a `hidden beast` number, since 84 + 7 + 55 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 26873856 = 7608^2 + 5184^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11835 + ... + 17594.

Almost surely, 2^84755520 is an apocalyptic number.

84755520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84755520 is an abundant number, since it is smaller than the sum of its proper divisors (206778060).

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

84755520 is a wasteful number, since it uses less digits than its factorization.

84755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29452 (or 29439 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 84755520 is about 9206.2761201259. The cubic root of 84755520 is about 439.2610185261.

The spelling of 84755520 in words is "eighty-four million, seven hundred fifty-five thousand, five hundred twenty".