1364585940 has 168 divisors, whose sum is σ = 4329303048. Its totient is φ = 361117440.

The previous prime is 1364585927. The next prime is 1364585953. The reversal of 1364585940 is 495854631.

1364585940 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 58 + 594 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1364585927) and next prime (1364585953).

It can be written as a sum of positive squares in 4 ways, for example, as 325297296 + 1039288644 = 18036^2 + 32238^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2522070 + ... + 2522610.

It is an arithmetic number, because the mean of its divisors is an integer number (25769661).

Almost surely, 2^1364585940 is an apocalyptic number.

1364585940 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 1364585940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164651524).

1364585940 is an abundant number, since it is smaller than the sum of its proper divisors (2964717108).

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

1364585940 is a wasteful number, since it uses less digits than its factorization.

1364585940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1364585940 is about 36940.3023810039. The cubic root of 1364585940 is about 1109.1755748279.

The spelling of 1364585940 in words is "one billion, three hundred sixty-four million, five hundred eighty-five thousand, nine hundred forty".