84113760 has 192 divisors, whose sum is σ = 291755520. Its totient is φ = 20275200.

The previous prime is 84113747. The next prime is 84113789. The reversal of 84113760 is 6731148.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 209560 + ... + 209960.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 2^84113760 is an apocalyptic number.

84113760 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 84113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145877760).

84113760 is an abundant number, since it is smaller than the sum of its proper divisors (207641760).

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

84113760 is a wasteful number, since it uses less digits than its factorization.

84113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 84113760 is about 9171.3554069178. The cubic root of 84113760 is about 438.1495288135.

The spelling of 84113760 in words is "eighty-four million, one hundred thirteen thousand, seven hundred sixty".