1361598000 has 320 divisors, whose sum is σ = 5314802688. Its totient is φ = 292761600.

The previous prime is 1361597989. The next prime is 1361598001. The reversal of 1361598000 is 8951631.

It is a super-2 number, since 2×1361598000² = 3707898227208000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1361598001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713047 + ... + 714953.

Almost surely, 2^1361598000 is an apocalyptic number.

1361598000 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 1361598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657401344).

1361598000 is an abundant number, since it is smaller than the sum of its proper divisors (3953204688).

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

1361598000 is a wasteful number, since it uses less digits than its factorization.

1361598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1361598000 is about 36899.8373980157. The cubic root of 1361598000 is about 1108.3654213987.

The spelling of 1361598000 in words is "one billion, three hundred sixty-one million, five hundred ninety-eight thousand".