85538480 has 80 divisors (see below), whose sum is σ = 205028544. Its totient is φ = 33177600.

The previous prime is 85538473. The next prime is 85538483. The reversal of 85538480 is 8483558.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (85538483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566405 + ... + 566555.

Almost surely, 2^85538480 is an apocalyptic number.

85538480 is a gapful number since it is divisible by the number (80) 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 85538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102514272).

85538480 is an abundant number, since it is smaller than the sum of its proper divisors (119490064).

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

85538480 is a wasteful number, since it uses less digits than its factorization.

85538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 85538480 is about 9248.7015304852. The cubic root of 85538480 is about 440.6094859316.

The spelling of 85538480 in words is "eighty-five million, five hundred thirty-eight thousand, four hundred eighty".