84630240 has 72 divisors (see below), whose sum is σ = 288805608. Its totient is φ = 22567680.

The previous prime is 84630239. The next prime is 84630257. The reversal of 84630240 is 4203648.

84630240 is a `hidden beast` number, since 8 + 4 + 630 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27946 + ... + 30825.

It is an arithmetic number, because the mean of its divisors is an integer number (4011189).

Almost surely, 2^84630240 is an apocalyptic number.

84630240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84630240 is an abundant number, since it is smaller than the sum of its proper divisors (204175368).

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

84630240 is a wasteful number, since it uses less digits than its factorization.

84630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58792 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84630240 is about 9199.4695499251. The cubic root of 84630240 is about 439.0444829467.

Adding to 84630240 its reverse (4203648), we get a palindrome (88833888).

The spelling of 84630240 in words is "eighty-four million, six hundred thirty thousand, two hundred forty".