1990056960 has 264 divisors, whose sum is σ = 7261609680. Its totient is φ = 502530048.

The previous prime is 1990056953. The next prime is 1990056973. The reversal of 1990056960 is 696500991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874384 + ... + 876656.

Almost surely, 2^1990056960 is an apocalyptic number.

1990056960 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 1990056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630804840).

1990056960 is an abundant number, since it is smaller than the sum of its proper divisors (5271552720).

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

1990056960 is a wasteful number, since it uses less digits than its factorization.

1990056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1990056960 is about 44610.0544720582. The cubic root of 1990056960 is about 1257.8296727159.

The spelling of 1990056960 in words is "one billion, nine hundred ninety million, fifty-six thousand, nine hundred sixty".