84925440 has 264 divisors, whose sum is σ = 312945360. Its totient is φ = 21233664.

The previous prime is 84925429. The next prime is 84925447. The reversal of 84925440 is 4452948.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 84925395 and 84925404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84925447) 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, 875472 + ... + 875568.

Almost surely, 2^84925440 is an apocalyptic number.

84925440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 9215×9216.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156472680).

84925440 is an abundant number, since it is smaller than the sum of its proper divisors (228019920).

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

84925440 is a wasteful number, since it uses less digits than its factorization.

84925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84925440 is about 9215.4999864359. The cubic root of 84925440 is about 439.5543697565.

The spelling of 84925440 in words is "eighty-four million, nine hundred twenty-five thousand, four hundred forty".