1590685668 has 192 divisors, whose sum is σ = 4889149440. Its totient is φ = 440899200.

The previous prime is 1590685639. The next prime is 1590685669. The reversal of 1590685668 is 8665860951.

It is a happy number.

1590685668 is a `hidden beast` number, since 15 + 9 + 0 + 68 + 566 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1590685669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1960983 + ... + 1961793.

It is an arithmetic number, because the mean of its divisors is an integer number (25464320).

Almost surely, 2^1590685668 is an apocalyptic number.

1590685668 is a gapful number since it is divisible by the number (18) 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 1590685668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444574720).

1590685668 is an abundant number, since it is smaller than the sum of its proper divisors (3298463772).

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

1590685668 is a wasteful number, since it uses less digits than its factorization.

1590685668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 1590685668 is about 39883.4009081472. The cubic root of 1590685668 is about 1167.3330708488. Note that the first 3 decimals are identical.

The spelling of 1590685668 in words is "one billion, five hundred ninety million, six hundred eighty-five thousand, six hundred sixty-eight".