1679032980 has 36 divisors (see below), whose sum is σ = 5093067252. Its totient is φ = 447742080.

The previous prime is 1679032969. The next prime is 1679033003. The reversal of 1679032980 is 892309761.

1679032980 is a `hidden beast` number, since 167 + 90 + 329 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1007808516 + 671224464 = 31746^2 + 25908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a house number.

It is a congruent number.

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, 4663801 + ... + 4664160.

Almost surely, 2^1679032980 is an apocalyptic number.

1679032980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1679032980 is an abundant number, since it is smaller than the sum of its proper divisors (3414034272).

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

1679032980 is a wasteful number, since it uses less digits than its factorization.

1679032980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327976 (or 9327971 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1679032980 is about 40976.0049297147. The cubic root of 1679032980 is about 1188.5562558462.

It can be divided in two parts, 16790 and 32980, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1679032980 in words is "one billion, six hundred seventy-nine million, thirty-two thousand, nine hundred eighty".