1361937120 has 96 divisors (see below), whose sum is σ = 4362906240. Its totient is φ = 357020160.

The previous prime is 1361937113. The next prime is 1361937127. The reversal of 1361937120 is 217391631.

It is an interprime number because it is at equal distance from previous prime (1361937113) and next prime (1361937127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361937127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4275 + ... + 52365.

It is an arithmetic number, because the mean of its divisors is an integer number (45446940).

Almost surely, 2^1361937120 is an apocalyptic number.

1361937120 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 1361937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181453120).

1361937120 is an abundant number, since it is smaller than the sum of its proper divisors (3000969120).

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

1361937120 is a wasteful number, since it uses less digits than its factorization.

1361937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48168 (or 48160 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1361937120 is about 36904.4322541345. The cubic root of 1361937120 is about 1108.4574303670.

The spelling of 1361937120 in words is "one billion, three hundred sixty-one million, nine hundred thirty-seven thousand, one hundred twenty".