1992532920 has 128 divisors (see below), whose sum is σ = 6857533440. Its totient is φ = 453703680.

The previous prime is 1992532897. The next prime is 1992532937. The reversal of 1992532920 is 292352991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223264 + ... + 232016.

It is an arithmetic number, because the mean of its divisors is an integer number (53574480).

Almost surely, 2^1992532920 is an apocalyptic number.

1992532920 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 1992532920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428766720).

1992532920 is an abundant number, since it is smaller than the sum of its proper divisors (4865000520).

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

1992532920 is a wasteful number, since it uses less digits than its factorization.

1992532920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9045 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1992532920 is about 44637.7969886508. The cubic root of 1992532920 is about 1258.3511059090.

The spelling of 1992532920 in words is "one billion, nine hundred ninety-two million, five hundred thirty-two thousand, nine hundred twenty".