361564140 has 144 divisors (see below), whose sum is σ = 1229098752. Its totient is φ = 79035264.

The previous prime is 361564139. The next prime is 361564169. The reversal of 361564140 is 41465163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 361564098 and 361564107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64947 + ... + 70293.

It is an arithmetic number, because the mean of its divisors is an integer number (8535408).

Almost surely, 2^361564140 is an apocalyptic number.

361564140 is a gapful number since it is divisible by the number (30) 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 361564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614549376).

361564140 is an abundant number, since it is smaller than the sum of its proper divisors (867534612).

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

361564140 is a wasteful number, since it uses less digits than its factorization.

361564140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 361564140 is about 19014.8399940678. The cubic root of 361564140 is about 712.4074462727.

The spelling of 361564140 in words is "three hundred sixty-one million, five hundred sixty-four thousand, one hundred forty".