1364042592 has 288 divisors, whose sum is σ = 4517420544. Its totient is φ = 401241600.

The previous prime is 1364042591. The next prime is 1364042597. The reversal of 1364042592 is 2952404631.

It is a happy number.

1364042592 is a `hidden beast` number, since 1 + 3 + 64 + 0 + 4 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1364042592² = 3721224385580156928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364042591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164617 + ... + 3165047.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2^1364042592 is an apocalyptic number.

1364042592 is a gapful number since it is divisible by the number (12) 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 1364042592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

1364042592 is an abundant number, since it is smaller than the sum of its proper divisors (3153377952).

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

1364042592 is a wasteful number, since it uses less digits than its factorization.

1364042592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1364042592 is about 36932.9472422659. The cubic root of 1364042592 is about 1109.0283388740.

The spelling of 1364042592 in words is "one billion, three hundred sixty-four million, forty-two thousand, five hundred ninety-two".