981564816 has 20 divisors (see below), whose sum is σ = 2535709232. Its totient is φ = 327188256.

The previous prime is 981564739. The next prime is 981564817. The reversal of 981564816 is 618465189.

It is a super-2 number, since 2×981564816² = 1926938976018227712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 20449267 = 981564816 / (9 + 8 + 1 + 5 + 6 + 4 + 8 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (981564817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10224586 + ... + 10224681.

Almost surely, 2^981564816 is an apocalyptic number.

It is an amenable number.

981564816 is an abundant number, since it is smaller than the sum of its proper divisors (1554144416).

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

981564816 is a wasteful number, since it uses less digits than its factorization.

981564816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20449278 (or 20449272 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 981564816 is about 31329.9348227857. The cubic root of 981564816 is about 993.8167853221.

The spelling of 981564816 in words is "nine hundred eighty-one million, five hundred sixty-four thousand, eight hundred sixteen".