1516365840 has 160 divisors (see below), whose sum is σ = 5141920896. Its totient is φ = 366612480.

The previous prime is 1516365839. The next prime is 1516365859. The reversal of 1516365840 is 485636151.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617852 + ... + 1618788.

Almost surely, 2^1516365840 is an apocalyptic number.

1516365840 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 1516365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570960448).

1516365840 is an abundant number, since it is smaller than the sum of its proper divisors (3625555056).

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

1516365840 is a wasteful number, since it uses less digits than its factorization.

1516365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1516365840 is about 38940.5423691042. The cubic root of 1516365840 is about 1148.8623506802.

It can be divided in two parts, 15163 and 65840, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 1516365840 in words is "one billion, five hundred sixteen million, three hundred sixty-five thousand, eight hundred forty".