84251160 has 192 divisors, whose sum is σ = 318240000. Its totient is φ = 18931968.

The previous prime is 84251143. The next prime is 84251171. The reversal of 84251160 is 6115248.

It is a super-2 number, since 2×84251160² = 14196515922691200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168591 + ... + 169089.

It is an arithmetic number, because the mean of its divisors is an integer number (1657500).

Almost surely, 2^84251160 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 84251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120000).

84251160 is an abundant number, since it is smaller than the sum of its proper divisors (233988840).

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

84251160 is a wasteful number, since it uses less digits than its factorization.

84251160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 84251160 is about 9178.8430643518. The cubic root of 84251160 is about 438.3879717472.

The spelling of 84251160 in words is "eighty-four million, two hundred fifty-one thousand, one hundred sixty".