84301440 has 192 divisors, whose sum is σ = 284286240. Its totient is φ = 21243904.

The previous prime is 84301411. The next prime is 84301471. The reversal of 84301440 is 4410348.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 84301440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015639 + ... + 1015721.

Almost surely, 2^84301440 is an apocalyptic number.

84301440 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 84301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142143120).

84301440 is an abundant number, since it is smaller than the sum of its proper divisors (199984800).

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

84301440 is a wasteful number, since it uses less digits than its factorization.

84301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84301440 is about 9181.5815631077. The cubic root of 84301440 is about 438.4751624907.

Adding to 84301440 its reverse (4410348), we get a palindrome (88711788).

It can be divided in two parts, 8430 and 1440, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 84301440 in words is "eighty-four million, three hundred one thousand, four hundred forty".