360097920 has 512 divisors, whose sum is σ = 1576512000. Its totient is φ = 75644928.

The previous prime is 360097919. The next prime is 360097939. The reversal of 360097920 is 29790063.

360097920 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572366 + ... + 1572594.

It is an arithmetic number, because the mean of its divisors is an integer number (3079125).

Almost surely, 2^360097920 is an apocalyptic number.

360097920 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 360097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788256000).

360097920 is an abundant number, since it is smaller than the sum of its proper divisors (1216414080).

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

360097920 is a wasteful number, since it uses less digits than its factorization.

360097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 360097920 is about 18976.2462041364. The cubic root of 360097920 is about 711.4431533830.

The spelling of 360097920 in words is "three hundred sixty million, ninety-seven thousand, nine hundred twenty".