1516061376 has 252 divisors, whose sum is σ = 4800764592. Its totient is φ = 456496128.

The previous prime is 1516061359. The next prime is 1516061381. The reversal of 1516061376 is 6731606151.

1516061376 is a `hidden beast` number, since 1 + 516 + 0 + 6 + 137 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1516061376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4782370 + ... + 4782686.

Almost surely, 2^1516061376 is an apocalyptic number.

1516061376 is a gapful number since it is divisible by the number (16) 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 1516061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400382296).

1516061376 is an abundant number, since it is smaller than the sum of its proper divisors (3284703216).

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

1516061376 is a wasteful number, since it uses less digits than its factorization.

1516061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1516061376 is about 38936.6328282249. The cubic root of 1516061376 is about 1148.7854539686.

The spelling of 1516061376 in words is "one billion, five hundred sixteen million, sixty-one thousand, three hundred seventy-six".