1690878560 has 96 divisors (see below), whose sum is σ = 4628135232. Its totient is φ = 571760640.

The previous prime is 1690878529. The next prime is 1690878569. The reversal of 1690878560 is 658780961.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1690878499 and 1690878508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690878569) 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 15 ways as a sum of consecutive naturals, for example, 71420 + ... + 92100.

It is an arithmetic number, because the mean of its divisors is an integer number (48209742).

Almost surely, 2^1690878560 is an apocalyptic number.

1690878560 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 1690878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314067616).

1690878560 is an abundant number, since it is smaller than the sum of its proper divisors (2937256672).

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

1690878560 is a wasteful number, since it uses less digits than its factorization.

1690878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 1690878560 is about 41120.2937732697. The cubic root of 1690878560 is about 1191.3447970477.

The spelling of 1690878560 in words is "one billion, six hundred ninety million, eight hundred seventy-eight thousand, five hundred sixty".