84274560 has 128 divisors (see below), whose sum is σ = 298533600. Its totient is φ = 22468608.

The previous prime is 84274537. The next prime is 84274573. The reversal of 84274560 is 6547248.

It is a tau number, because it is divible by the number of its divisors (128).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14842 + ... + 19718.

Almost surely, 2^84274560 is an apocalyptic number.

84274560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149266800).

84274560 is an abundant number, since it is smaller than the sum of its proper divisors (214259040).

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

84274560 is a wasteful number, since it uses less digits than its factorization.

84274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 84274560 is about 9180.1176463050. The cubic root of 84274560 is about 438.4285540924.

The spelling of 84274560 in words is "eighty-four million, two hundred seventy-four thousand, five hundred sixty".