84193920 has 192 divisors, whose sum is σ = 297872640. Its totient is φ = 21903360.

The previous prime is 84193909. The next prime is 84193937. The reversal of 84193920 is 2939148.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 270565 + ... + 270875.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 2^84193920 is an apocalyptic number.

84193920 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 84193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936320).

84193920 is an abundant number, since it is smaller than the sum of its proper divisors (213678720).

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

84193920 is a wasteful number, since it uses less digits than its factorization.

84193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 84193920 is about 9175.7244945563. The cubic root of 84193920 is about 438.2886694055.

The spelling of 84193920 in words is "eighty-four million, one hundred ninety-three thousand, nine hundred twenty".