85361900 has 54 divisors (see below), whose sum is σ = 200619972. Its totient is φ = 31512000.

The previous prime is 85361897. The next prime is 85361909. The reversal of 85361900 is 916358.

It is a super-2 number, since 2×85361900² = 14573307943220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85361909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14375 + ... + 19425.

Almost surely, 2^85361900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85361900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100309986).

85361900 is an abundant number, since it is smaller than the sum of its proper divisors (115258072).

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

85361900 is a wasteful number, since it uses less digits than its factorization.

85361900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 85361900 is about 9239.1503938403. The cubic root of 85361900 is about 440.3060886711.

The spelling of 85361900 in words is "eighty-five million, three hundred sixty-one thousand, nine hundred".