84301140 has 192 divisors, whose sum is σ = 299593728. Its totient is φ = 17203200.

The previous prime is 84301123. The next prime is 84301153. The reversal of 84301140 is 4110348.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 327892 + ... + 328148.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 2^84301140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796864).

84301140 is an abundant number, since it is smaller than the sum of its proper divisors (215292588).

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

84301140 is a wasteful number, since it uses less digits than its factorization.

84301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 84301140 is about 9181.5652260385. The cubic root of 84301140 is about 438.4746423624.

Adding to 84301140 its reverse (4110348), we get a palindrome (88411488).

It can be divided in two parts, 843011 and 40, that added together give a triangular number (843051 = T₁₂₉₈).

The spelling of 84301140 in words is "eighty-four million, three hundred one thousand, one hundred forty".