84974880 has 192 divisors, whose sum is σ = 287400960. Its totient is φ = 21052416.

The previous prime is 84974863. The next prime is 84974881. The reversal of 84974880 is 8847948.

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

It is not an unprimeable number, because it can be changed into a prime (84974881) 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, 474631 + ... + 474809.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^84974880 is an apocalyptic number.

84974880 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 84974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

84974880 is an abundant number, since it is smaller than the sum of its proper divisors (202426080).

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

84974880 is a wasteful number, since it uses less digits than its factorization.

84974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 84974880 is about 9218.1820333513. The cubic root of 84974880 is about 439.6396498655.

The spelling of 84974880 in words is "eighty-four million, nine hundred seventy-four thousand, eight hundred eighty".