84742560 has 216 divisors, whose sum is σ = 336677796. Its totient is φ = 19353600.

The previous prime is 84742523. The next prime is 84742573. The reversal of 84742560 is 6524748.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 15586704 = 8316^2 + 3948^2 .

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 35 ways as a sum of consecutive naturals, for example, 69960 + ... + 71160.

Almost surely, 2^84742560 is an apocalyptic number.

84742560 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 84742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168338898).

84742560 is an abundant number, since it is smaller than the sum of its proper divisors (251935236).

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

84742560 is a wasteful number, since it uses less digits than its factorization.

84742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1218 counting only the distinct ones).

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

The square root of 84742560 is about 9205.5722255599. The cubic root of 84742560 is about 439.2386281930.

The spelling of 84742560 in words is "eighty-four million, seven hundred forty-two thousand, five hundred sixty".