361628064 has 240 divisors, whose sum is σ = 1280664000. Its totient is φ = 97790976.

The previous prime is 361628027. The next prime is 361628081. The reversal of 361628064 is 460826163.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344212 + ... + 345260.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2^361628064 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 361628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640332000).

361628064 is an abundant number, since it is smaller than the sum of its proper divisors (919035936).

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

361628064 is a wasteful number, since it uses less digits than its factorization.

361628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 361628064 is about 19016.5208174366. The cubic root of 361628064 is about 712.4494279895.

The spelling of 361628064 in words is "three hundred sixty-one million, six hundred twenty-eight thousand, sixty-four".