1364220900 has 576 divisors, whose sum is σ = 5499648000. Its totient is φ = 283046400.

The previous prime is 1364220883. The next prime is 1364220911. The reversal of 1364220900 is 90224631.

1364220900 is a `hidden beast` number, since 13 + 642 + 2 + 0 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×1364220900² = 3722197327993620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10413835 + ... + 10413965.

It is an arithmetic number, because the mean of its divisors is an integer number (9548000).

Almost surely, 2^1364220900 is an apocalyptic number.

1364220900 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 1364220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824000).

1364220900 is an abundant number, since it is smaller than the sum of its proper divisors (4135427100).

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

1364220900 is a wasteful number, since it uses less digits than its factorization.

1364220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1364220900 is about 36935.3611055855. The cubic root of 1364220900 is about 1109.0766609255.

The spelling of 1364220900 in words is "one billion, three hundred sixty-four million, two hundred twenty thousand, nine hundred".