361162620 has 288 divisors, whose sum is σ = 1428755328. Its totient is φ = 71663616.

The previous prime is 361162601. The next prime is 361162649. The reversal of 361162620 is 26261163.

361162620 is a `hidden beast` number, since 3 + 6 + 11 + 626 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277812 + ... + 279108.

It is an arithmetic number, because the mean of its divisors is an integer number (4960956).

Almost surely, 2^361162620 is an apocalyptic number.

361162620 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 361162620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714377664).

361162620 is an abundant number, since it is smaller than the sum of its proper divisors (1067592708).

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

361162620 is a wasteful number, since it uses less digits than its factorization.

361162620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 361162620 is about 19004.2789918481. The cubic root of 361162620 is about 712.1436371196.

The spelling of 361162620 in words is "three hundred sixty-one million, one hundred sixty-two thousand, six hundred twenty".