1937616016 has 30 divisors (see below), whose sum is σ = 4367052150. Its totient is φ = 830406528.

The previous prime is 1937616001. The next prime is 1937616047. The reversal of 1937616016 is 6106167391.

It can be written as a sum of positive squares in only one way, i.e., 1390991616 + 546624400 = 37296^2 + 23380^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1937616016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1234941 + ... + 1236508.

It is an arithmetic number, because the mean of its divisors is an integer number (145568405).

Almost surely, 2^1937616016 is an apocalyptic number.

1937616016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1937616016 is an abundant number, since it is smaller than the sum of its proper divisors (2429436134).

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

1937616016 is a wasteful number, since it uses less digits than its factorization.

1937616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471471 (or 2471458 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1937616016 is about 44018.3599876233. The cubic root of 1937616016 is about 1246.6826205298.

The spelling of 1937616016 in words is "one billion, nine hundred thirty-seven million, six hundred sixteen thousand, sixteen".