1516933964 has 48 divisors (see below), whose sum is σ = 3333960000. Its totient is φ = 600098688.

The previous prime is 1516933963. The next prime is 1516933967. The reversal of 1516933964 is 4693396151.

It is a super-2 number, since 2×1516933964² = 4602177302273506592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1516933963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24689 + ... + 60360.

It is an arithmetic number, because the mean of its divisors is an integer number (69457500).

Almost surely, 2^1516933964 is an apocalyptic number.

1516933964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1516933964 is an abundant number, since it is smaller than the sum of its proper divisors (1817026036).

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

1516933964 is a wasteful number, since it uses less digits than its factorization.

1516933964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85087 (or 85071 counting only the distinct ones).

The product of its digits is 524880, while the sum is 47.

The square root of 1516933964 is about 38947.8364482547. The cubic root of 1516933964 is about 1149.0058109544.

The spelling of 1516933964 in words is "one billion, five hundred sixteen million, nine hundred thirty-three thousand, nine hundred sixty-four".