1679661360 has 400 divisors, whose sum is σ = 6372258816. Its totient is φ = 407586816.

The previous prime is 1679661349. The next prime is 1679661367. The reversal of 1679661360 is 631669761.

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

It is not an unprimeable number, because it can be changed into a prime (1679661367) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10698402 + ... + 10698558.

Almost surely, 2^1679661360 is an apocalyptic number.

1679661360 is a gapful number since it is divisible by the number (10) 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 1679661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186129408).

1679661360 is an abundant number, since it is smaller than the sum of its proper divisors (4692597456).

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

1679661360 is a wasteful number, since it uses less digits than its factorization.

1679661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1679661360 is about 40983.6718706365. The cubic root of 1679661360 is about 1188.7045101959.

The spelling of 1679661360 in words is "one billion, six hundred seventy-nine million, six hundred sixty-one thousand, three hundred sixty".