84645540 has 192 divisors, whose sum is σ = 307776000. Its totient is φ = 19305216.

The previous prime is 84645521. The next prime is 84645557. The reversal of 84645540 is 4554648.

84645540 is a `hidden beast` number, since 8 + 4 + 645 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84645495 and 84645504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184992 + ... + 185448.

It is an arithmetic number, because the mean of its divisors is an integer number (1603000).

Almost surely, 2^84645540 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 84645540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153888000).

84645540 is an abundant number, since it is smaller than the sum of its proper divisors (223130460).

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

84645540 is a wasteful number, since it uses less digits than its factorization.

84645540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 84645540 is about 9200.3010820299. The cubic root of 84645540 is about 439.0709391158.

The spelling of 84645540 in words is "eighty-four million, six hundred forty-five thousand, five hundred forty".