84875040 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 21648384.

The previous prime is 84875029. The next prime is 84875051. The reversal of 84875040 is 4057848.

It is an interprime number because it is at equal distance from previous prime (84875029) and next prime (84875051).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 84874986 and 84875004.

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, 1438531 + ... + 1438589.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^84875040 is an apocalyptic number.

84875040 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 84875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

84875040 is an abundant number, since it is smaller than the sum of its proper divisors (228834720).

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

84875040 is a wasteful number, since it uses less digits than its factorization.

84875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84875040 is about 9212.7650572453. The cubic root of 84875040 is about 439.4673996483.

The spelling of 84875040 in words is "eighty-four million, eight hundred seventy-five thousand, forty".