84601440 has 432 divisors, whose sum is σ = 369729360. Its totient is φ = 17418240.

The previous prime is 84601427. The next prime is 84601463. The reversal of 84601440 is 4410648.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 776106 + ... + 776214.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^84601440 is an apocalyptic number.

84601440 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 84601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

84601440 is an abundant number, since it is smaller than the sum of its proper divisors (285127920).

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

84601440 is a wasteful number, since it uses less digits than its factorization.

84601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84601440 is about 9197.9041090892. The cubic root of 84601440 is about 438.9946744476.

The spelling of 84601440 in words is "eighty-four million, six hundred one thousand, four hundred forty".