842736240 has 240 divisors, whose sum is σ = 3094730496. Its totient is φ = 204595200.

The previous prime is 842736239. The next prime is 842736299. The reversal of 842736240 is 42637248.

842736240 is a `hidden beast` number, since 8 + 4 + 27 + 3 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 842736195 and 842736204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378330 + ... + 380550.

Almost surely, 2^842736240 is an apocalyptic number.

842736240 is a gapful number since it is divisible by the number (80) 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 842736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547365248).

842736240 is an abundant number, since it is smaller than the sum of its proper divisors (2251994256).

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

842736240 is a wasteful number, since it uses less digits than its factorization.

842736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 842736240 is about 29029.9197380909. The cubic root of 842736240 is about 944.5621890674.

The spelling of 842736240 in words is "eight hundred forty-two million, seven hundred thirty-six thousand, two hundred forty".