913360000 has 240 divisors, whose sum is σ = 2656329390. Its totient is φ = 311808000.

The previous prime is 913359991. The next prime is 913360009. The reversal of 913360000 is 63319.

It is an interprime number because it is at equal distance from previous prime (913359991) and next prime (913360009).

It can be written as a sum of positive squares in 5 ways, for example, as 2286144 + 911073856 = 1512^2 + 30184^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (913360009) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 3919884 + ... + 3920116.

Almost surely, 2^913360000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 913360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328164695).

913360000 is an abundant number, since it is smaller than the sum of its proper divisors (1742969390).

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

913360000 is an equidigital number, since it uses as much as digits as its factorization.

913360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 913360000 is about 30221.8464028921. The cubic root of 913360000 is about 970.2433229518.

The spelling of 913360000 in words is "nine hundred thirteen million, three hundred sixty thousand".