84486240 has 288 divisors, whose sum is σ = 312058656. Its totient is φ = 21565440.

The previous prime is 84486229. The next prime is 84486247. The reversal of 84486240 is 4268448.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 84486195 and 84486204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84486247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594054 + ... + 1594106.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 2^84486240 is an apocalyptic number.

84486240 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 84486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

84486240 is an abundant number, since it is smaller than the sum of its proper divisors (227572416).

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

84486240 is a wasteful number, since it uses less digits than its factorization.

84486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

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

The square root of 84486240 is about 9191.6396796219. The cubic root of 84486240 is about 438.7953273355.

The spelling of 84486240 in words is "eighty-four million, four hundred eighty-six thousand, two hundred forty".