1632790656 has 128 divisors (see below), whose sum is σ = 5507510400. Its totient is φ = 466504704.

The previous prime is 1632790651. The next prime is 1632790657. The reversal of 1632790656 is 6560972361.

1632790656 is a `hidden beast` number, since 1 + 632 + 7 + 9 + 0 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1632790651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9555 + ... + 57938.

It is an arithmetic number, because the mean of its divisors is an integer number (43027425).

Almost surely, 2^1632790656 is an apocalyptic number.

1632790656 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 1632790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753755200).

1632790656 is an abundant number, since it is smaller than the sum of its proper divisors (3874719744).

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

1632790656 is an equidigital number, since it uses as much as digits as its factorization.

1632790656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67523 (or 67505 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1632790656 is about 40407.8043946958. The cubic root of 1632790656 is about 1177.5431636577.

The spelling of 1632790656 in words is "one billion, six hundred thirty-two million, seven hundred ninety thousand, six hundred fifty-six".