85949484 has 48 divisors (see below), whose sum is σ = 219211776. Its totient is φ = 26092800.

The previous prime is 85949477. The next prime is 85949519. The reversal of 85949484 is 48494958.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472 + ... + 13119.

It is an arithmetic number, because the mean of its divisors is an integer number (4566912).

Almost surely, 2^85949484 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 85949484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109605888).

85949484 is an abundant number, since it is smaller than the sum of its proper divisors (133262292).

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

85949484 is a wasteful number, since it uses less digits than its factorization.

85949484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646 (or 13644 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 85949484 is about 9270.8944552292. The cubic root of 85949484 is about 441.3140537839.

The spelling of 85949484 in words is "eighty-five million, nine hundred forty-nine thousand, four hundred eighty-four".