85403648 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 36372480.

The previous prime is 85403641. The next prime is 85403663. The reversal of 85403648 is 84630458.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85403641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382865 + ... + 383087.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^85403648 is an apocalyptic number.

85403648 is a gapful number since it is divisible by the number (88) 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 85403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

85403648 is an abundant number, since it is smaller than the sum of its proper divisors (112728832).

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

85403648 is a wasteful number, since it uses less digits than its factorization.

85403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 85403648 is about 9241.4094163174. The cubic root of 85403648 is about 440.3778572342.

The spelling of 85403648 in words is "eighty-five million, four hundred three thousand, six hundred forty-eight".