1690214400 has 504 divisors, whose sum is σ = 6972080544. Its totient is φ = 383385600.

The previous prime is 1690214377. The next prime is 1690214411. The reversal of 1690214400 is 44120961.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12902335 + ... + 12902465.

Almost surely, 2^1690214400 is an apocalyptic number.

1690214400 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 1690214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486040272).

1690214400 is an abundant number, since it is smaller than the sum of its proper divisors (5281866144).

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

1690214400 is a wasteful number, since it uses less digits than its factorization.

1690214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1690214400 is about 41112.2171622986. The cubic root of 1690214400 is about 1191.1887938906.

The spelling of 1690214400 in words is "one billion, six hundred ninety million, two hundred fourteen thousand, four hundred".