361024560 has 480 divisors, whose sum is σ = 1437765120. Its totient is φ = 83026944.

The previous prime is 361024553. The next prime is 361024589. The reversal of 361024560 is 65420163.

361024560 is a `hidden beast` number, since 3 + 610 + 2 + 45 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8395899 + ... + 8395941.

It is an arithmetic number, because the mean of its divisors is an integer number (2995344).

Almost surely, 2^361024560 is an apocalyptic number.

361024560 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 361024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718882560).

361024560 is an abundant number, since it is smaller than the sum of its proper divisors (1076740560).

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

361024560 is a wasteful number, since it uses less digits than its factorization.

361024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 361024560 is about 19000.6463047971. The cubic root of 361024560 is about 712.0528829130.

It can be divided in two parts, 36 and 1024560, that added together give a triangular number (1024596 = T₁₄₃₁).

The spelling of 361024560 in words is "three hundred sixty-one million, twenty-four thousand, five hundred sixty".