1690340400 has 600 divisors, whose sum is σ = 7200119520. Its totient is φ = 371589120.

The previous prime is 1690340369. The next prime is 1690340411. The reversal of 1690340400 is 40430961.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6577072 + ... + 6577328.

Almost surely, 2^1690340400 is an apocalyptic number.

1690340400 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 1690340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600059760).

1690340400 is an abundant number, since it is smaller than the sum of its proper divisors (5509779120).

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

1690340400 is a wasteful number, since it uses less digits than its factorization.

1690340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1690340400 is about 41113.7495249460. The cubic root of 1690340400 is about 1191.2183929085.

The spelling of 1690340400 in words is "one billion, six hundred ninety million, three hundred forty thousand, four hundred".