1561347984 has 80 divisors (see below), whose sum is σ = 4758425600. Its totient is φ = 431706240.

The previous prime is 1561347919. The next prime is 1561348001. The reversal of 1561347984 is 4897431651.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 64534 + ... + 85365.

It is an arithmetic number, because the mean of its divisors is an integer number (59480320).

Almost surely, 2^1561347984 is an apocalyptic number.

1561347984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1561347984 is an abundant number, since it is smaller than the sum of its proper divisors (3197077616).

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

1561347984 is a wasteful number, since it uses less digits than its factorization.

1561347984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149948 (or 149942 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1561347984 is about 39513.8960873260. The cubic root of 1561347984 is about 1160.1119551081. Note that the first 3 decimals are identical.

The spelling of 1561347984 in words is "one billion, five hundred sixty-one million, three hundred forty-seven thousand, nine hundred eighty-four".