84253680 has 240 divisors, whose sum is σ = 329234880. Its totient is φ = 18911232.

The previous prime is 84253667. The next prime is 84253703. The reversal of 84253680 is 8635248.

84253680 is a `hidden beast` number, since 8 + 42 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367806 + ... + 368034.

It is an arithmetic number, because the mean of its divisors is an integer number (1371812).

Almost surely, 2^84253680 is an apocalyptic number.

84253680 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 84253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164617440).

84253680 is an abundant number, since it is smaller than the sum of its proper divisors (244981200).

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

84253680 is a wasteful number, since it uses less digits than its factorization.

84253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

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

The square root of 84253680 is about 9178.9803355275. The cubic root of 84253680 is about 438.3923425146.

The spelling of 84253680 in words is "eighty-four million, two hundred fifty-three thousand, six hundred eighty".