1364901408 has 192 divisors, whose sum is σ = 4323352320. Its totient is φ = 416434176.

The previous prime is 1364901403. The next prime is 1364901409. The reversal of 1364901408 is 8041094631.

1364901408 is a `hidden beast` number, since 1 + 3 + 649 + 0 + 1 + 4 + 0 + 8 = 666.

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 (1364901403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538341 + ... + 1539227.

It is an arithmetic number, because the mean of its divisors is an integer number (22517460).

Almost surely, 2^1364901408 is an apocalyptic number.

1364901408 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 1364901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161676160).

1364901408 is an abundant number, since it is smaller than the sum of its proper divisors (2958450912).

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

1364901408 is a wasteful number, since it uses less digits than its factorization.

1364901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1364901408 is about 36944.5721047084. The cubic root of 1364901408 is about 1109.2610421308.

The spelling of 1364901408 in words is "one billion, three hundred sixty-four million, nine hundred one thousand, four hundred eight".