1368257000 has 128 divisors (see below), whose sum is σ = 3517862400. Its totient is φ = 493984000.

The previous prime is 1368256993. The next prime is 1368257027. The reversal of 1368257000 is 7528631.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902641 + ... + 1903359.

It is an arithmetic number, because the mean of its divisors is an integer number (27483300).

Almost surely, 2^1368257000 is an apocalyptic number.

1368257000 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 1368257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758931200).

1368257000 is an abundant number, since it is smaller than the sum of its proper divisors (2149605400).

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

1368257000 is a wasteful number, since it uses less digits than its factorization.

1368257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1368257000 is about 36989.9580967592. The cubic root of 1368257000 is about 1110.1693327144.

The spelling of 1368257000 in words is "one billion, three hundred sixty-eight million, two hundred fifty-seven thousand".