1630689900 has 288 divisors, whose sum is σ = 5724966912. Its totient is φ = 350438400.

The previous prime is 1630689899. The next prime is 1630689901. The reversal of 1630689900 is 99860361.

It is an interprime number because it is at equal distance from previous prime (1630689899) and next prime (1630689901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1630689901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2408362 + ... + 2409038.

Almost surely, 2^1630689900 is an apocalyptic number.

1630689900 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 1630689900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862483456).

1630689900 is an abundant number, since it is smaller than the sum of its proper divisors (4094277012).

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

1630689900 is a wasteful number, since it uses less digits than its factorization.

1630689900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1630689900 is about 40381.8015942825. The cubic root of 1630689900 is about 1177.0379360952.

The spelling of 1630689900 in words is "one billion, six hundred thirty million, six hundred eighty-nine thousand, nine hundred".