888420240 has 240 divisors, whose sum is σ = 3176671680. Its totient is φ = 221875200.

The previous prime is 888420199. The next prime is 888420257. The reversal of 888420240 is 42024888.

888420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 888420195 and 888420204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381359 + ... + 1382001.

It is an arithmetic number, because the mean of its divisors is an integer number (13236132).

Almost surely, 2^888420240 is an apocalyptic number.

888420240 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 888420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588335840).

888420240 is an abundant number, since it is smaller than the sum of its proper divisors (2288251440).

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

888420240 is a wasteful number, since it uses less digits than its factorization.

888420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 888420240 is about 29806.3791829870. The cubic root of 888420240 is about 961.3307066683.

The spelling of 888420240 in words is "eight hundred eighty-eight million, four hundred twenty thousand, two hundred forty".