82854240 has 96 divisors (see below), whose sum is σ = 298287360. Its totient is φ = 18937344.

The previous prime is 82854229. The next prime is 82854271. The reversal of 82854240 is 4245828.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8970 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (3107160).

Almost surely, 2^82854240 is an apocalyptic number.

82854240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82854240 is an abundant number, since it is smaller than the sum of its proper divisors (215433120).

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

82854240 is a wasteful number, since it uses less digits than its factorization.

82854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24684 (or 24676 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82854240 is about 9102.4304446670. The cubic root of 82854240 is about 435.9515699651.

The spelling of 82854240 in words is "eighty-two million, eight hundred fifty-four thousand, two hundred forty".