85141600 has 36 divisors (see below), whose sum is σ = 207853884. Its totient is φ = 34056320.

The previous prime is 85141577. The next prime is 85141601. The reversal of 85141600 is 614158.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85141601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52414 + ... + 54013.

It is an arithmetic number, because the mean of its divisors is an integer number (5773719).

Almost surely, 2^85141600 is an apocalyptic number.

85141600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85141600 is an abundant number, since it is smaller than the sum of its proper divisors (122712284).

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

85141600 is a wasteful number, since it uses less digits than its factorization.

85141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106447 (or 106434 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 85141600 is about 9227.2205999423. The cubic root of 85141600 is about 439.9269851296.

Adding to 85141600 its reverse (614158), we get a palindrome (85755758).

The spelling of 85141600 in words is "eighty-five million, one hundred forty-one thousand, six hundred".