1630868400 has 180 divisors, whose sum is σ = 6468175792. Its totient is φ = 372764160.

The previous prime is 1630868359. The next prime is 1630868417. The reversal of 1630868400 is 48680361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 7159 + ... + 57558.

Almost surely, 2^1630868400 is an apocalyptic number.

1630868400 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 1630868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234087896).

1630868400 is an abundant number, since it is smaller than the sum of its proper divisors (4837307392).

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

1630868400 is a wasteful number, since it uses less digits than its factorization.

1630868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64748 (or 64734 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1630868400 is about 40384.0116877955. The cubic root of 1630868400 is about 1177.0808818459.

The spelling of 1630868400 in words is "one billion, six hundred thirty million, eight hundred sixty-eight thousand, four hundred".