1690507904 has 64 divisors (see below), whose sum is σ = 3498957000. Its totient is φ = 812593152.

The previous prime is 1690507901. The next prime is 1690507909. The reversal of 1690507904 is 4097050961.

It can be written as a sum of positive squares in 4 ways, for example, as 982947904 + 707560000 = 31352^2 + 26600^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1690507901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 997682 + ... + 999374.

Almost surely, 2^1690507904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749478500).

1690507904 is an abundant number, since it is smaller than the sum of its proper divisors (1808449096).

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

1690507904 is a wasteful number, since it uses less digits than its factorization.

1690507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 1690507904 is about 41115.7865545583. The cubic root of 1690507904 is about 1191.2577394715.

The spelling of 1690507904 in words is "one billion, six hundred ninety million, five hundred seven thousand, nine hundred four".