1516006656 has 108 divisors (see below), whose sum is σ = 4601207520. Its totient is φ = 478725120.

The previous prime is 1516006649. The next prime is 1516006663. The reversal of 1516006656 is 6566006151.

It is an interprime number because it is at equal distance from previous prime (1516006649) and next prime (1516006663).

It is a super-3 number, since 3×1516006656³ (a number of 29 digits) contains 333 as substring.

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 1516006656.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 26461 + ... + 61091.

Almost surely, 2^1516006656 is an apocalyptic number.

1516006656 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 1516006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300603760).

1516006656 is an abundant number, since it is smaller than the sum of its proper divisors (3085200864).

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

1516006656 is a wasteful number, since it uses less digits than its factorization.

1516006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34672 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1516006656 is about 38935.9301417084. The cubic root of 1516006656 is about 1148.7716325633.

The spelling of 1516006656 in words is "one billion, five hundred sixteen million, six thousand, six hundred fifty-six".