1630815672 has 64 divisors (see below), whose sum is σ = 4187907360. Its totient is φ = 528896000.

The previous prime is 1630815649. The next prime is 1630815689. The reversal of 1630815672 is 2765180361.

It is a super-3 number, since 3×1630815672³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1630815672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392518 + ... + 396650.

Almost surely, 2^1630815672 is an apocalyptic number.

1630815672 is a gapful number since it is divisible by the number (12) 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 1630815672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093953680).

1630815672 is an abundant number, since it is smaller than the sum of its proper divisors (2557091688).

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

1630815672 is a wasteful number, since it uses less digits than its factorization.

1630815672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1630815672 is about 40383.3588499025. The cubic root of 1630815672 is about 1177.0681962138.

The spelling of 1630815672 in words is "one billion, six hundred thirty million, eight hundred fifteen thousand, six hundred seventy-two".