361845064 has 64 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 148780800.

The previous prime is 361845061. The next prime is 361845067. The reversal of 361845064 is 460548163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (361845061) and next prime (361845067).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (361845061) 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 15 ways as a sum of consecutive naturals, for example, 293329 + ... + 294559.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^361845064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361845064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403603200).

361845064 is an abundant number, since it is smaller than the sum of its proper divisors (445361336).

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

361845064 is a wasteful number, since it uses less digits than its factorization.

361845064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 361845064 is about 19022.2255269987. The cubic root of 361845064 is about 712.5919045909.

The spelling of 361845064 in words is "three hundred sixty-one million, eight hundred forty-five thousand, sixty-four".