1047961680 has 80 divisors (see below), whose sum is σ = 3253125120. Its totient is φ = 279074304.

The previous prime is 1047961667. The next prime is 1047961697. The reversal of 1047961680 is 861697401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) 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, 202161 + ... + 207279.

It is an arithmetic number, because the mean of its divisors is an integer number (40664064).

Almost surely, 2^1047961680 is an apocalyptic number.

1047961680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1047961680 is an abundant number, since it is smaller than the sum of its proper divisors (2205163440).

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

1047961680 is a wasteful number, since it uses less digits than its factorization.

1047961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1047961680 is about 32372.2362526904. The cubic root of 1047961680 is about 1015.7382352073.

The spelling of 1047961680 in words is "one billion, forty-seven million, nine hundred sixty-one thousand, six hundred eighty".