85201362 has 64 divisors (see below), whose sum is σ = 200793600. Its totient is φ = 26732160.

The previous prime is 85201327. The next prime is 85201367. The reversal of 85201362 is 26310258.

85201362 is a `hidden beast` number, since 8 + 520 + 136 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85201367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63543 + ... + 64869.

It is an arithmetic number, because the mean of its divisors is an integer number (3137400).

Almost surely, 2^85201362 is an apocalyptic number.

85201362 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 85201362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100396800).

85201362 is an abundant number, since it is smaller than the sum of its proper divisors (115592238).

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

85201362 is a wasteful number, since it uses less digits than its factorization.

85201362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85201362 is about 9230.4583851508. The cubic root of 85201362 is about 440.0298912200.

The spelling of 85201362 in words is "eighty-five million, two hundred one thousand, three hundred sixty-two".