1690411680 has 480 divisors, whose sum is σ = 6401856384. Its totient is φ = 419088384.

The previous prime is 1690411663. The next prime is 1690411699. The reversal of 1690411680 is 861140961.

It is a happy number.

1690411680 is a `hidden beast` number, since 169 + 0 + 411 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 15798187 + ... + 15798293.

Almost surely, 2^1690411680 is an apocalyptic number.

1690411680 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 1690411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200928192).

1690411680 is an abundant number, since it is smaller than the sum of its proper divisors (4711444704).

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

1690411680 is a wasteful number, since it uses less digits than its factorization.

1690411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1690411680 is about 41114.6163790932. The cubic root of 1690411680 is about 1191.2351368443.

The spelling of 1690411680 in words is "one billion, six hundred ninety million, four hundred eleven thousand, six hundred eighty".