1679516900 has 36 divisors (see below), whose sum is σ = 3652141248. Its totient is φ = 670407840.

The previous prime is 1679516899. The next prime is 1679516911. The reversal of 1679516900 is 96159761.

It is a happy number.

It is a super-2 number, since 2×1679516900² = 5641554034771220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31457 + ... + 65943.

It is an arithmetic number, because the mean of its divisors is an integer number (101448368).

Almost surely, 2^1679516900 is an apocalyptic number.

1679516900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1679516900 is an abundant number, since it is smaller than the sum of its proper divisors (1972624348).

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

1679516900 is a wasteful number, since it uses less digits than its factorization.

1679516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34988 (or 34981 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 1679516900 is about 40981.9094235493. The cubic root of 1679516900 is about 1188.6704308708.

The spelling of 1679516900 in words is "one billion, six hundred seventy-nine million, five hundred sixteen thousand, nine hundred".