1679097600 has 540 divisors, whose sum is σ = 6440316960. Its totient is φ = 431308800.

The previous prime is 1679097587. The next prime is 1679097613. The reversal of 1679097600 is 67909761.

It is an interprime number because it is at equal distance from previous prime (1679097587) and next prime (1679097613).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 21254361 + ... + 21254439.

Almost surely, 2^1679097600 is an apocalyptic number.

1679097600 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 1679097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220158480).

1679097600 is an abundant number, since it is smaller than the sum of its proper divisors (4761219360).

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

1679097600 is an equidigital number, since it uses as much as digits as its factorization.

1679097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1679097600 is about 40976.7934323807. The cubic root of 1679097600 is about 1188.5715034165.

The spelling of 1679097600 in words is "one billion, six hundred seventy-nine million, ninety-seven thousand, six hundred".