84078240 has 96 divisors (see below), whose sum is σ = 267442560. Its totient is φ = 22201344.

The previous prime is 84078229. The next prime is 84078251. The reversal of 84078240 is 4287048.

It is an interprime number because it is at equal distance from previous prime (84078229) and next prime (84078251).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 51517 + ... + 53123.

It is an arithmetic number, because the mean of its divisors is an integer number (2785860).

Almost surely, 2^84078240 is an apocalyptic number.

84078240 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 84078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133721280).

84078240 is an abundant number, since it is smaller than the sum of its proper divisors (183364320).

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

84078240 is a wasteful number, since it uses less digits than its factorization.

84078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 84078240 is about 9169.4187383934. The cubic root of 84078240 is about 438.0878454359.

The spelling of 84078240 in words is "eighty-four million, seventy-eight thousand, two hundred forty".