361766064 has 80 divisors (see below), whose sum is σ = 1024113024. Its totient is φ = 109132800.

The previous prime is 361766047. The next prime is 361766081. The reversal of 361766064 is 460667163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (361766047) and next prime (361766081).

It is an unprimeable number.

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, 125827 + ... + 128669.

Almost surely, 2^361766064 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 361766064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512056512).

361766064 is an abundant number, since it is smaller than the sum of its proper divisors (662346960).

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

361766064 is a wasteful number, since it uses less digits than its factorization.

361766064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 361766064 is about 19020.1488953163. The cubic root of 361766064 is about 712.5400418247.

The spelling of 361766064 in words is "three hundred sixty-one million, seven hundred sixty-six thousand, sixty-four".