1690791648 has 288 divisors, whose sum is σ = 5698256256. Its totient is φ = 434875392.

The previous prime is 1690791647. The next prime is 1690791649. The reversal of 1690791648 is 8461970961.

It is a happy number.

1690791648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1690791647) and next prime (1690791649).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1690791648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690791643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2629215 + ... + 2629857.

It is an arithmetic number, because the mean of its divisors is an integer number (19785612).

Almost surely, 2^1690791648 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 1690791648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849128128).

1690791648 is an abundant number, since it is smaller than the sum of its proper divisors (4007464608).

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

1690791648 is a wasteful number, since it uses less digits than its factorization.

1690791648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 1690791648 is about 41119.2369579009. The cubic root of 1690791648 is about 1191.3243847926.

The spelling of 1690791648 in words is "one billion, six hundred ninety million, seven hundred ninety-one thousand, six hundred forty-eight".