85624080 has 80 divisors (see below), whose sum is σ = 266929344. Its totient is φ = 22704640.

The previous prime is 85624079. The next prime is 85624081. The reversal of 85624080 is 8042658.

It is an interprime number because it is at equal distance from previous prime (85624079) and next prime (85624081).

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 (85624081) 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, 46375 + ... + 48185.

Almost surely, 2^85624080 is an apocalyptic number.

85624080 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 85624080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133464672).

85624080 is an abundant number, since it is smaller than the sum of its proper divisors (181305264).

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

85624080 is a wasteful number, since it uses less digits than its factorization.

85624080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85624080 is about 9253.3280499505. The cubic root of 85624080 is about 440.7564123905.

The spelling of 85624080 in words is "eighty-five million, six hundred twenty-four thousand, eighty".