360987840 has 280 divisors, whose sum is σ = 1353525360. Its totient is φ = 91072512.

The previous prime is 360987817. The next prime is 360987857. The reversal of 360987840 is 48789063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 492114 + ... + 492846.

Almost surely, 2^360987840 is an apocalyptic number.

360987840 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 360987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676762680).

360987840 is an abundant number, since it is smaller than the sum of its proper divisors (992537520).

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

360987840 is a wasteful number, since it uses less digits than its factorization.

360987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 360987840 is about 18999.6799973052. The cubic root of 360987840 is about 712.0287410020.

The spelling of 360987840 in words is "three hundred sixty million, nine hundred eighty-seven thousand, eight hundred forty".