1679458560 has 288 divisors, whose sum is σ = 6119245440. Its totient is φ = 388890624.

The previous prime is 1679458559. The next prime is 1679458589. The reversal of 1679458560 is 658549761.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847651 + ... + 849629.

It is an arithmetic number, because the mean of its divisors is an integer number (21247380).

Almost surely, 2^1679458560 is an apocalyptic number.

1679458560 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 1679458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059622720).

1679458560 is an abundant number, since it is smaller than the sum of its proper divisors (4439786880).

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

1679458560 is a wasteful number, since it uses less digits than its factorization.

1679458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 1679458560 is about 40981.1976398933. The cubic root of 1679458560 is about 1188.6566674217.

The spelling of 1679458560 in words is "one billion, six hundred seventy-nine million, four hundred fifty-eight thousand, five hundred sixty".