84846240 has 72 divisors (see below), whose sum is σ = 289542708. Its totient is φ = 22625280.

The previous prime is 84846197. The next prime is 84846247. The reversal of 84846240 is 4264848.

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 3196944 = 9036^2 + 1788^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84846195 and 84846204.

It is not an unprimeable number, because it can be changed into a prime (84846247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28021 + ... + 30900.

Almost surely, 2^84846240 is an apocalyptic number.

84846240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84846240 is an abundant number, since it is smaller than the sum of its proper divisors (204696468).

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

84846240 is a wasteful number, since it uses less digits than its factorization.

84846240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58942 (or 58931 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84846240 is about 9211.2018759769. The cubic root of 84846240 is about 439.4176869847.

The spelling of 84846240 in words is "eighty-four million, eight hundred forty-six thousand, two hundred forty".