85329480 has 64 divisors (see below), whose sum is σ = 259257600. Its totient is φ = 22464000.

The previous prime is 85329473. The next prime is 85329509. The reversal of 85329480 is 8492358.

It is a happy number.

It is a super-2 number, since 2×85329480² = 14562240314140800, which contains 22 as substring.

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, 4980 + ... + 13980.

It is an arithmetic number, because the mean of its divisors is an integer number (4050900).

Almost surely, 2^85329480 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 85329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129628800).

85329480 is an abundant number, since it is smaller than the sum of its proper divisors (173928120).

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

85329480 is a wasteful number, since it uses less digits than its factorization.

85329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 85329480 is about 9237.3957368947. The cubic root of 85329480 is about 440.2503396350.

The spelling of 85329480 in words is "eighty-five million, three hundred twenty-nine thousand, four hundred eighty".