1516114560 has 128 divisors (see below), whose sum is σ = 4855656960. Its totient is φ = 402370560.

The previous prime is 1516114549. The next prime is 1516114573. The reversal of 1516114560 is 654116151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 426390 + ... + 429930.

It is an arithmetic number, because the mean of its divisors is an integer number (37934820).

Almost surely, 2^1516114560 is an apocalyptic number.

1516114560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427828480).

1516114560 is an abundant number, since it is smaller than the sum of its proper divisors (3339542400).

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

1516114560 is a wasteful number, since it uses less digits than its factorization.

1516114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1516114560 is about 38937.3157780554. The cubic root of 1516114560 is about 1148.7988870860.

The spelling of 1516114560 in words is "one billion, five hundred sixteen million, one hundred fourteen thousand, five hundred sixty".