85474832 has 40 divisors (see below), whose sum is σ = 175535640. Its totient is φ = 40248320.

The previous prime is 85474819. The next prime is 85474891. The reversal of 85474832 is 23847458.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 66846976 = 4316^2 + 8176^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 85474832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16778 + ... + 21270.

It is an arithmetic number, because the mean of its divisors is an integer number (4388391).

Almost surely, 2^85474832 is an apocalyptic number.

85474832 is a gapful number since it is divisible by the number (82) 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 85474832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87767820).

85474832 is an abundant number, since it is smaller than the sum of its proper divisors (90060808).

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

85474832 is a wasteful number, since it uses less digits than its factorization.

85474832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4565 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 85474832 is about 9245.2599747114. The cubic root of 85474832 is about 440.5001750066.

The spelling of 85474832 in words is "eighty-five million, four hundred seventy-four thousand, eight hundred thirty-two".