1992646656 has 672 divisors, whose sum is σ = 8014825728. Its totient is φ = 477757440.

The previous prime is 1992646651. The next prime is 1992646657. The reversal of 1992646656 is 6566462991.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4199040) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992646651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153280506 + ... + 153280518.

It is an arithmetic number, because the mean of its divisors is an integer number (11926824).

Almost surely, 2^1992646656 is an apocalyptic number.

1992646656 is a gapful number since it is divisible by the number (16) 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 1992646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007412864).

1992646656 is an abundant number, since it is smaller than the sum of its proper divisors (6022179072).

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

1992646656 is an equidigital number, since it uses as much as digits as its factorization.

1992646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 1992646656 is about 44639.0709580744. The cubic root of 1992646656 is about 1258.3750481481.

The spelling of 1992646656 in words is "one billion, nine hundred ninety-two million, six hundred forty-six thousand, six hundred fifty-six".