1361517920 has 96 divisors (see below), whose sum is σ = 3751272000. Its totient is φ = 466787328.

The previous prime is 1361517907. The next prime is 1361517931. The reversal of 1361517920 is 297151631.

It is a super-2 number, since 2×1361517920² = 3707462092962252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42476 + ... + 67284.

It is an arithmetic number, because the mean of its divisors is an integer number (39075750).

Almost surely, 2^1361517920 is an apocalyptic number.

1361517920 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 1361517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875636000).

1361517920 is an abundant number, since it is smaller than the sum of its proper divisors (2389754080).

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

1361517920 is an equidigital number, since it uses as much as digits as its factorization.

1361517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24845 (or 24823 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 1361517920 is about 36898.7522824282. The cubic root of 1361517920 is about 1108.3436921162.

The spelling of 1361517920 in words is "one billion, three hundred sixty-one million, five hundred seventeen thousand, nine hundred twenty".