84093152 has 192 divisors, whose sum is σ = 219469824. Its totient is φ = 31088640.

The previous prime is 84093137. The next prime is 84093161. The reversal of 84093152 is 25139048.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789193 + ... + 1789239.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^84093152 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 84093152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912).

84093152 is an abundant number, since it is smaller than the sum of its proper divisors (135376672).

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

84093152 is a wasteful number, since it uses less digits than its factorization.

84093152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 84093152 is about 9170.2318400355. The cubic root of 84093152 is about 438.1137434557.

The spelling of 84093152 in words is "eighty-four million, ninety-three thousand, one hundred fifty-two".