84934240 has 48 divisors (see below), whose sum is σ = 206094672. Its totient is φ = 33053184.

The previous prime is 84934189. The next prime is 84934253. The reversal of 84934240 is 4243948.

It is a junction number, because it is equal to n+sod(n) for n = 84934196 and 84934205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254 + ... + 13093.

It is an arithmetic number, because the mean of its divisors is an integer number (4293639).

Almost surely, 2^84934240 is an apocalyptic number.

84934240 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 84934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103047336).

84934240 is an abundant number, since it is smaller than the sum of its proper divisors (121160432).

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

84934240 is a wasteful number, since it uses less digits than its factorization.

84934240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14399 (or 14391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 84934240 is about 9215.9774305279. The cubic root of 84934240 is about 439.5695514847.

The spelling of 84934240 in words is "eighty-four million, nine hundred thirty-four thousand, two hundred forty".