1516981600 has 36 divisors (see below), whose sum is σ = 3703333284. Its totient is φ = 606792320.

The previous prime is 1516981579. The next prime is 1516981601. The reversal of 1516981600 is 61896151.

It is a self number, because there is not a number n which added to its sum of digits gives 1516981600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516981601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 947314 + ... + 948913.

It is an arithmetic number, because the mean of its divisors is an integer number (102870369).

Almost surely, 2^1516981600 is an apocalyptic number.

1516981600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1516981600 is an abundant number, since it is smaller than the sum of its proper divisors (2186351684).

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

1516981600 is a wasteful number, since it uses less digits than its factorization.

1516981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896247 (or 1896234 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 1516981600 is about 38948.4479793483. The cubic root of 1516981600 is about 1149.0178381684.

It can be divided in two parts, 15169 and 81600, that added together give a palindrome (96769).

The spelling of 1516981600 in words is "one billion, five hundred sixteen million, nine hundred eighty-one thousand, six hundred".