84903712 has 48 divisors (see below), whose sum is σ = 178922520. Its totient is φ = 39518208.

The previous prime is 84903701. The next prime is 84903719. The reversal of 84903712 is 21730948.

It can be written as a sum of positive squares in 4 ways, for example, as 84713616 + 190096 = 9204^2 + 436^2 .

It is a super-2 number, since 2×84903712² = 14417280622757888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (84903719) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51964 + ... + 53572.

Almost surely, 2^84903712 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 84903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89461260).

84903712 is an abundant number, since it is smaller than the sum of its proper divisors (94018808).

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

84903712 is a wasteful number, since it uses less digits than its factorization.

84903712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 84903712 is about 9214.3210276178. The cubic root of 84903712 is about 439.5168801971.

The spelling of 84903712 in words is "eighty-four million, nine hundred three thousand, seven hundred twelve".