1990315800 has 672 divisors, whose sum is σ = 8123788080. Its totient is φ = 447897600.

The previous prime is 1990315799. The next prime is 1990315819. The reversal of 1990315800 is 85130991.

It is a happy number.

1990315800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1990315800² = 7922713967459280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27264564 + ... + 27264636.

Almost surely, 2^1990315800 is an apocalyptic number.

1990315800 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 1990315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061894040).

1990315800 is an abundant number, since it is smaller than the sum of its proper divisors (6133472280).

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

1990315800 is a wasteful number, since it uses less digits than its factorization.

1990315800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1990315800 is about 44612.9555174279. The cubic root of 1990315800 is about 1257.8842042401.

The spelling of 1990315800 in words is "one billion, nine hundred ninety million, three hundred fifteen thousand, eight hundred".