1361668590 has 32 divisors (see below), whose sum is σ = 3631116960. Its totient is φ = 363111552.

The previous prime is 1361668519. The next prime is 1361668591. The reversal of 1361668590 is 958661631.

It is a super-3 number, since 3×1361668590³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361668591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2521339 + ... + 2521878.

It is an arithmetic number, because the mean of its divisors is an integer number (113472405).

Almost surely, 2^1361668590 is an apocalyptic number.

1361668590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1361668590 is an abundant number, since it is smaller than the sum of its proper divisors (2269448370).

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

1361668590 is a wasteful number, since it uses less digits than its factorization.

1361668590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043233 (or 5043227 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1361668590 is about 36900.7938938988. The cubic root of 1361668590 is about 1108.3845749137.

The spelling of 1361668590 in words is "one billion, three hundred sixty-one million, six hundred sixty-eight thousand, five hundred ninety".