1516314640 has 40 divisors (see below), whose sum is σ = 3530720448. Its totient is φ = 605616000.

The previous prime is 1516314617. The next prime is 1516314661. The reversal of 1516314640 is 464136151.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40765 + ... + 68515.

Almost surely, 2^1516314640 is an apocalyptic number.

1516314640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1516314640 is an abundant number, since it is smaller than the sum of its proper divisors (2014405808).

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

1516314640 is a wasteful number, since it uses less digits than its factorization.

1516314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447 (or 28441 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1516314640 is about 38939.8849510370. The cubic root of 1516314640 is about 1148.8494201123.

The spelling of 1516314640 in words is "one billion, five hundred sixteen million, three hundred fourteen thousand, six hundred forty".