1516265640 has 96 divisors (see below), whose sum is σ = 4971606120. Its totient is φ = 400748544.

The previous prime is 1516265633. The next prime is 1516265671. The reversal of 1516265640 is 465626151.

1516265640 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 2 + 6 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 963357444 + 552908196 = 31038^2 + 23514^2 .

It is a super-2 number, since 2×1516265640² = 4598122982089219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1516265595 and 1516265604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22044 + ... + 59316.

Almost surely, 2^1516265640 is an apocalyptic number.

1516265640 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 1516265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485803060).

1516265640 is an abundant number, since it is smaller than the sum of its proper divisors (3455340480).

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

1516265640 is a wasteful number, since it uses less digits than its factorization.

1516265640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37403 (or 37396 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1516265640 is about 38939.2557710083. The cubic root of 1516265640 is about 1148.8370448822.

The spelling of 1516265640 in words is "one billion, five hundred sixteen million, two hundred sixty-five thousand, six hundred forty".