1630964808 has 320 divisors, whose sum is σ = 5271805440. Its totient is φ = 470448000.

The previous prime is 1630964791. The next prime is 1630964831. The reversal of 1630964808 is 8084690361.

1630964808 is a `hidden beast` number, since 1 + 630 + 9 + 6 + 4 + 8 + 0 + 8 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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, 26737098 + ... + 26737158.

It is an arithmetic number, because the mean of its divisors is an integer number (16474392).

Almost surely, 2^1630964808 is an apocalyptic number.

1630964808 is a gapful number since it is divisible by the number (18) 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 1630964808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635902720).

1630964808 is an abundant number, since it is smaller than the sum of its proper divisors (3640840632).

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

1630964808 is a wasteful number, since it uses less digits than its factorization.

1630964808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1630964808 is about 40385.2053108561. The cubic root of 1630964808 is about 1177.1040755787.

The spelling of 1630964808 in words is "one billion, six hundred thirty million, nine hundred sixty-four thousand, eight hundred eight".