1361117088 has 96 divisors (see below), whose sum is σ = 4106894400. Its totient is φ = 438052608.

The previous prime is 1361117081. The next prime is 1361117089. The reversal of 1361117088 is 8807111631.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1361117081) 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, 2106 + ... + 52217.

It is an arithmetic number, because the mean of its divisors is an integer number (42780150).

Almost surely, 2^1361117088 is an apocalyptic number.

1361117088 is a gapful number since it is divisible by the number (18) 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 1361117088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053447200).

1361117088 is an abundant number, since it is smaller than the sum of its proper divisors (2745777312).

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

1361117088 is a wasteful number, since it uses less digits than its factorization.

1361117088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54371 (or 54357 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1361117088 is about 36893.3203710374. The cubic root of 1361117088 is about 1108.2349156748.

The spelling of 1361117088 in words is "one billion, three hundred sixty-one million, one hundred seventeen thousand, eighty-eight".