1516637340 has 72 divisors (see below), whose sum is σ = 4633639920. Its totient is φ = 401520384.

The previous prime is 1516637299. The next prime is 1516637351. The reversal of 1516637340 is 437366151.

1516637340 is a `hidden beast` number, since 1 + 5 + 16 + 637 + 3 + 4 + 0 = 666.

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 = 1516637295 and 1516637304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5289 + ... + 55328.

It is an arithmetic number, because the mean of its divisors is an integer number (64356110).

Almost surely, 2^1516637340 is an apocalyptic number.

1516637340 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 1516637340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316819960).

1516637340 is an abundant number, since it is smaller than the sum of its proper divisors (3117002580).

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

1516637340 is a wasteful number, since it uses less digits than its factorization.

1516637340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60771 (or 60766 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1516637340 is about 38944.0282970316. The cubic root of 1516637340 is about 1148.9309131836.

The spelling of 1516637340 in words is "one billion, five hundred sixteen million, six hundred thirty-seven thousand, three hundred forty".