84977424 has 400 divisors, whose sum is σ = 324086400. Its totient is φ = 20901888.

The previous prime is 84977413. The next prime is 84977429. The reversal of 84977424 is 42477948.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84977424.

It is not an unprimeable number, because it can be changed into a prime (84977429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930242 + ... + 2930270.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 2^84977424 is an apocalyptic number.

84977424 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 84977424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

84977424 is an abundant number, since it is smaller than the sum of its proper divisors (239108976).

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

84977424 is a wasteful number, since it uses less digits than its factorization.

84977424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 84977424 is about 9218.3200204810. The cubic root of 84977424 is about 439.6440371703.

The spelling of 84977424 in words is "eighty-four million, nine hundred seventy-seven thousand, four hundred twenty-four".