854214240 has 96 divisors (see below), whose sum is σ = 2935408896. Its totient is φ = 207080960.

The previous prime is 854214209. The next prime is 854214253. The reversal of 854214240 is 42412458.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 854214198 and 854214207.

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 15 ways as a sum of consecutive naturals, for example, 75612 + ... + 86171.

It is an arithmetic number, because the mean of its divisors is an integer number (30577176).

Almost surely, 2^854214240 is an apocalyptic number.

854214240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

854214240 is an abundant number, since it is smaller than the sum of its proper divisors (2081194656).

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

854214240 is a wasteful number, since it uses less digits than its factorization.

854214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161812 (or 161804 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 854214240 is about 29226.9437334799. The cubic root of 854214240 is about 948.8311534332.

Adding to 854214240 its reverse (42412458), we get a palindrome (896626698).

The spelling of 854214240 in words is "eight hundred fifty-four million, two hundred fourteen thousand, two hundred forty".