1679542000 has 40 divisors (see below), whose sum is σ = 4061137392. Its totient is φ = 671816000.

The previous prime is 1679541977. The next prime is 1679542001. The reversal of 1679542000 is 2459761.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1679542000² = 5641722659528000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679542001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417886 + ... + 421885.

Almost surely, 2^1679542000 is an apocalyptic number.

1679542000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1679542000 is an abundant number, since it is smaller than the sum of its proper divisors (2381595392).

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

1679542000 is an equidigital number, since it uses as much as digits as its factorization.

1679542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839794 (or 839778 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1679542000 is about 40982.2156550863. The cubic root of 1679542000 is about 1188.6763523115.

The spelling of 1679542000 in words is "one billion, six hundred seventy-nine million, five hundred forty-two thousand".