1992584160 has 144 divisors (see below), whose sum is σ = 7771117536. Its totient is φ = 455445504.

The previous prime is 1992584149. The next prime is 1992584173. The reversal of 1992584160 is 614852991.

1992584160 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 584 + 1 + 60 = 666.

1992584160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 88759 + ... + 108918.

It is an arithmetic number, because the mean of its divisors is an integer number (53966094).

Almost surely, 2^1992584160 is an apocalyptic number.

1992584160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1992584160 is an abundant number, since it is smaller than the sum of its proper divisors (5778533376).

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

1992584160 is a wasteful number, since it uses less digits than its factorization.

1992584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197705 (or 197694 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1992584160 is about 44638.3709380170. The cubic root of 1992584160 is about 1258.3618924072.

The spelling of 1992584160 in words is "one billion, nine hundred ninety-two million, five hundred eighty-four thousand, one hundred sixty".