1990890672 has 320 divisors, whose sum is σ = 6057897984. Its totient is φ = 559595520.

The previous prime is 1990890659. The next prime is 1990890673. The reversal of 1990890672 is 2760980991.

It is a happy number.

It is a super-3 number, since 3×1990890672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1990890673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32637522 + ... + 32637582.

Almost surely, 2^1990890672 is an apocalyptic number.

1990890672 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 1990890672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028948992).

1990890672 is an abundant number, since it is smaller than the sum of its proper divisors (4067007312).

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

1990890672 is a wasteful number, since it uses less digits than its factorization.

1990890672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 1990890672 is about 44619.3979340824. The cubic root of 1990890672 is about 1258.0052993947.

The spelling of 1990890672 in words is "one billion, nine hundred ninety million, eight hundred ninety thousand, six hundred seventy-two".