918345240 has 384 divisors, whose sum is σ = 3342643200. Its totient is φ = 217728000.

The previous prime is 918345223. The next prime is 918345277. The reversal of 918345240 is 42543819.

918345240 is a `hidden beast` number, since 91 + 83 + 452 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 918345195 and 918345204.

It is a congruent number.

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, 12934405 + ... + 12934475.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2^918345240 is an apocalyptic number.

918345240 is a gapful number since it is divisible by the number (90) 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 918345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671321600).

918345240 is an abundant number, since it is smaller than the sum of its proper divisors (2424297960).

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

918345240 is a wasteful number, since it uses less digits than its factorization.

918345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 918345240 is about 30304.2115884905. The cubic root of 918345240 is about 972.0053599257.

The spelling of 918345240 in words is "nine hundred eighteen million, three hundred forty-five thousand, two hundred forty".