84960240 has 40 divisors (see below), whose sum is σ = 263377488. Its totient is φ = 22656000.

The previous prime is 84960223. The next prime is 84960259. The reversal of 84960240 is 4206948.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176761 + ... + 177240.

Almost surely, 2^84960240 is an apocalyptic number.

84960240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84960240 is an abundant number, since it is smaller than the sum of its proper divisors (178417248).

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

84960240 is a wasteful number, since it uses less digits than its factorization.

84960240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354017 (or 354011 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 84960240 is about 9217.3879163242. The cubic root of 84960240 is about 439.6144004657.

The spelling of 84960240 in words is "eighty-four million, nine hundred sixty thousand, two hundred forty".