360061590 has 256 divisors, whose sum is σ = 1114767360. Its totient is φ = 72576000.

The previous prime is 360061523. The next prime is 360061607. The reversal of 360061590 is 95160063.

It is a happy number.

360061590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5071255 + ... + 5071325.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^360061590 is an apocalyptic number.

360061590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 360061590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

360061590 is an abundant number, since it is smaller than the sum of its proper divisors (754705770).

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

360061590 is a wasteful number, since it uses less digits than its factorization.

360061590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 360061590 is about 18975.2889306066. The cubic root of 360061590 is about 711.4192269289.

The spelling of 360061590 in words is "three hundred sixty million, sixty-one thousand, five hundred ninety".