1366821000 has 512 divisors, whose sum is σ = 5175705600. Its totient is φ = 332640000.

The previous prime is 1366820989. The next prime is 1366821017. The reversal of 1366821000 is 1286631.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 19250965 + ... + 19251035.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2^1366821000 is an apocalyptic number.

1366821000 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 1366821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587852800).

1366821000 is an abundant number, since it is smaller than the sum of its proper divisors (3808884600).

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

1366821000 is a wasteful number, since it uses less digits than its factorization.

1366821000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1366821000 is about 36970.5423276424. The cubic root of 1366821000 is about 1109.7808186662.

The spelling of 1366821000 in words is "one billion, three hundred sixty-six million, eight hundred twenty-one thousand".