85417920 has 336 divisors, whose sum is σ = 355031040. Its totient is φ = 18413568.

The previous prime is 85417903. The next prime is 85417921. The reversal of 85417920 is 2971458.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85417921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382929 + ... + 383151.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 2^85417920 is an apocalyptic number.

85417920 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 85417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

85417920 is an abundant number, since it is smaller than the sum of its proper divisors (269613120).

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

85417920 is a wasteful number, since it uses less digits than its factorization.

85417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85417920 is about 9242.1815606490. The cubic root of 85417920 is about 440.4023867200.

It can be divided in two parts, 8541 and 7920, that added together give a palindrome (16461).

The spelling of 85417920 in words is "eighty-five million, four hundred seventeen thousand, nine hundred twenty".