361591020 has 288 divisors, whose sum is σ = 1369858560. Its totient is φ = 77552640.

The previous prime is 361591019. The next prime is 361591039. The reversal of 361591020 is 20195163.

361591020 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092255 + ... + 1092585.

Almost surely, 2^361591020 is an apocalyptic number.

361591020 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 361591020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684929280).

361591020 is an abundant number, since it is smaller than the sum of its proper divisors (1008267540).

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

361591020 is a wasteful number, since it uses less digits than its factorization.

361591020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 361591020 is about 19015.5467972919. The cubic root of 361591020 is about 712.4251001599.

The spelling of 361591020 in words is "three hundred sixty-one million, five hundred ninety-one thousand, twenty".