84097420 has 144 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 27561600.

The previous prime is 84097417. The next prime is 84097457. The reversal of 84097420 is 2479048.

84097420 = T₁₉₅ + T₁₉₆ + ... + T₇₉₉.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1425351 + ... + 1425409.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^84097420 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 84097420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

84097420 is an abundant number, since it is smaller than the sum of its proper divisors (130404980).

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

84097420 is a wasteful number, since it uses less digits than its factorization.

84097420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 84097420 is about 9170.4645465756. The cubic root of 84097420 is about 438.1211552278.

The spelling of 84097420 in words is "eighty-four million, ninety-seven thousand, four hundred twenty".