1992642120 has 320 divisors, whose sum is σ = 7737649920. Its totient is φ = 450510336.

The previous prime is 1992642103. The next prime is 1992642151. The reversal of 1992642120 is 212462991.

1992642120 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 642 + 1 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2335614 + ... + 2336466.

It is an arithmetic number, because the mean of its divisors is an integer number (24180156).

Almost surely, 2^1992642120 is an apocalyptic number.

1992642120 is a gapful number since it is divisible by the number (10) 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 1992642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868824960).

1992642120 is an abundant number, since it is smaller than the sum of its proper divisors (5745007800).

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

1992642120 is a wasteful number, since it uses less digits than its factorization.

1992642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 973 counting only the distinct ones).

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

The square root of 1992642120 is about 44639.0201505365. The cubic root of 1992642120 is about 1258.3740933052.

The spelling of 1992642120 in words is "one billion, nine hundred ninety-two million, six hundred forty-two thousand, one hundred twenty".