1516986240 has 512 divisors, whose sum is σ = 6241812480. Its totient is φ = 304128000.

The previous prime is 1516986227. The next prime is 1516986253. The reversal of 1516986240 is 426896151.

It is an interprime number because it is at equal distance from previous prime (1516986227) and next prime (1516986253).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1516986192 and 1516986201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4582875 + ... + 4583205.

It is an arithmetic number, because the mean of its divisors is an integer number (12191040).

Almost surely, 2^1516986240 is an apocalyptic number.

1516986240 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 1516986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120906240).

1516986240 is an abundant number, since it is smaller than the sum of its proper divisors (4724826240).

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

1516986240 is a wasteful number, since it uses less digits than its factorization.

1516986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1516986240 is about 38948.5075452192. The cubic root of 1516986240 is about 1149.0190096696.

The spelling of 1516986240 in words is "one billion, five hundred sixteen million, nine hundred eighty-six thousand, two hundred forty".