84947940 has 288 divisors, whose sum is σ = 334623744. Its totient is φ = 17573760.

The previous prime is 84947909. The next prime is 84947959. The reversal of 84947940 is 4974948.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 374107 + ... + 374333.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^84947940 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 84947940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

84947940 is an abundant number, since it is smaller than the sum of its proper divisors (249675804).

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

84947940 is a wasteful number, since it uses less digits than its factorization.

84947940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84947940 is about 9216.7206749472. The cubic root of 84947940 is about 439.5931845884.

The spelling of 84947940 in words is "eighty-four million, nine hundred forty-seven thousand, nine hundred forty".