1690303680 has 448 divisors, whose sum is σ = 6528816000. Its totient is φ = 409190400.

The previous prime is 1690303663. The next prime is 1690303697. The reversal of 1690303680 is 863030961.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1690303663) and next prime (1690303697).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11344246 + ... + 11344394.

It is an arithmetic number, because the mean of its divisors is an integer number (14573250).

Almost surely, 2^1690303680 is an apocalyptic number.

1690303680 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 1690303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264408000).

1690303680 is an abundant number, since it is smaller than the sum of its proper divisors (4838512320).

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

1690303680 is a wasteful number, since it uses less digits than its factorization.

1690303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1690303680 is about 41113.3029565857. The cubic root of 1690303680 is about 1191.2097670609.

The spelling of 1690303680 in words is "one billion, six hundred ninety million, three hundred three thousand, six hundred eighty".