84893424 has 160 divisors (see below), whose sum is σ = 277315584. Its totient is φ = 21738240.

The previous prime is 84893423. The next prime is 84893443. The reversal of 84893424 is 42439848.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84893423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380577 + ... + 380799.

Almost surely, 2^84893424 is an apocalyptic number.

84893424 is a gapful number since it is divisible by the number (84) 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 84893424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792).

84893424 is an abundant number, since it is smaller than the sum of its proper divisors (192422160).

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

84893424 is a wasteful number, since it uses less digits than its factorization.

84893424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 84893424 is about 9213.7627492789. The cubic root of 84893424 is about 439.4991270184.

The spelling of 84893424 in words is "eighty-four million, eight hundred ninety-three thousand, four hundred twenty-four".