84686448 has 120 divisors (see below), whose sum is σ = 274954624. Its totient is φ = 21985920.

The previous prime is 84686447. The next prime is 84686449. The reversal of 84686448 is 84468648.

It is an interprime number because it is at equal distance from previous prime (84686447) and next prime (84686449).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84686397 and 84686406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84686447) 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 23 ways as a sum of consecutive naturals, for example, 39615 + ... + 41697.

Almost surely, 2^84686448 is an apocalyptic number.

84686448 is a gapful number since it is divisible by the number (88) 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 84686448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137477312).

84686448 is an abundant number, since it is smaller than the sum of its proper divisors (190268176).

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

84686448 is a wasteful number, since it uses less digits than its factorization.

84686448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2106 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 84686448 is about 9202.5240015987. The cubic root of 84686448 is about 439.1416599959.

The spelling of 84686448 in words is "eighty-four million, six hundred eighty-six thousand, four hundred forty-eight".