1990013664 has 96 divisors (see below), whose sum is σ = 5294298240. Its totient is φ = 654451200.

The previous prime is 1990013657. The next prime is 1990013677. The reversal of 1990013664 is 4663100991.

1990013664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879559 + ... + 2880249.

It is an arithmetic number, because the mean of its divisors is an integer number (55148940).

Almost surely, 2^1990013664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990013664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647149120).

1990013664 is an abundant number, since it is smaller than the sum of its proper divisors (3304284576).

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

1990013664 is a wasteful number, since it uses less digits than its factorization.

1990013664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1990013664 is about 44609.5691976509. The cubic root of 1990013664 is about 1257.8205508014.

The spelling of 1990013664 in words is "one billion, nine hundred ninety million, thirteen thousand, six hundred sixty-four".