264198240 has 192 divisors, whose sum is σ = 965260800. Its totient is φ = 67364352.

The previous prime is 264198239. The next prime is 264198251. The reversal of 264198240 is 42891462.

264198240 is a `hidden beast` number, since 2 + 641 + 9 + 8 + 2 + 4 + 0 = 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 = 264198195 and 264198204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98031 + ... + 100689.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^264198240 is an apocalyptic number.

264198240 is a gapful number since it is divisible by the number (20) 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 264198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

264198240 is an abundant number, since it is smaller than the sum of its proper divisors (701062560).

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

264198240 is a wasteful number, since it uses less digits than its factorization.

264198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 264198240 is about 16254.1760787805. The cubic root of 264198240 is about 641.6673969370.

The spelling of 264198240 in words is "two hundred sixty-four million, one hundred ninety-eight thousand, two hundred forty".