84954240 has 384 divisors, whose sum is σ = 350064000. Its totient is φ = 18966528.

The previous prime is 84954227. The next prime is 84954299. The reversal of 84954240 is 4245948.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 84954195 and 84954204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975659 + ... + 1975701.

It is an arithmetic number, because the mean of its divisors is an integer number (911625).

Almost surely, 2^84954240 is an apocalyptic number.

84954240 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 84954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032000).

84954240 is an abundant number, since it is smaller than the sum of its proper divisors (265109760).

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

84954240 is a wasteful number, since it uses less digits than its factorization.

84954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84954240 is about 9217.0624387600. The cubic root of 84954240 is about 439.6040515131.

The spelling of 84954240 in words is "eighty-four million, nine hundred fifty-four thousand, two hundred forty".