1690020864 has 528 divisors, whose sum is σ = 6253797888. Its totient is φ = 428212224.

The previous prime is 1690020781. The next prime is 1690020869. The reversal of 1690020864 is 4680200961.

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

It is not an unprimeable number, because it can be changed into a prime (1690020869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25224159 + ... + 25224225.

Almost surely, 2^1690020864 is an apocalyptic number.

1690020864 is a gapful number since it is divisible by the number (14) 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 1690020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126898944).

1690020864 is an abundant number, since it is smaller than the sum of its proper divisors (4563777024).

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

1690020864 is a wasteful number, since it uses less digits than its factorization.

1690020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1690020864 is about 41109.8633420254. The cubic root of 1690020864 is about 1191.1433269341.

The spelling of 1690020864 in words is "one billion, six hundred ninety million, twenty thousand, eight hundred sixty-four".