1921563072 has 336 divisors, whose sum is σ = 6640189920. Its totient is φ = 523468800.

The previous prime is 1921563067. The next prime is 1921563089. The reversal of 1921563072 is 2703651291.

1921563072 is a `hidden beast` number, since 1 + 9 + 2 + 15 + 630 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376804 + ... + 3377372.

It is an arithmetic number, because the mean of its divisors is an integer number (19762470).

Almost surely, 2^1921563072 is an apocalyptic number.

1921563072 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 1921563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320094960).

1921563072 is an abundant number, since it is smaller than the sum of its proper divisors (4718626848).

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

1921563072 is a wasteful number, since it uses less digits than its factorization.

1921563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1921563072 is about 43835.6370091733. The cubic root of 1921563072 is about 1243.2301906275.

The spelling of 1921563072 in words is "one billion, nine hundred twenty-one million, five hundred sixty-three thousand, seventy-two".