1981560672 has 480 divisors, whose sum is σ = 7431266304. Its totient is φ = 503884800.

The previous prime is 1981560667. The next prime is 1981560677. The reversal of 1981560672 is 2760651891.

1981560672 is a `hidden beast` number, since 1 + 9 + 81 + 560 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1981560667) and next prime (1981560677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981560677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7311897 + ... + 7312167.

Almost surely, 2^1981560672 is an apocalyptic number.

1981560672 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 1981560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715633152).

1981560672 is an abundant number, since it is smaller than the sum of its proper divisors (5449705632).

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

1981560672 is a wasteful number, since it uses less digits than its factorization.

1981560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1981560672 is about 44514.7242157019. The cubic root of 1981560672 is about 1256.0370727559.

The spelling of 1981560672 in words is "one billion, nine hundred eighty-one million, five hundred sixty thousand, six hundred seventy-two".