85320400 has 60 divisors (see below), whose sum is σ = 223628544. Its totient is φ = 31024000.

The previous prime is 85320377. The next prime is 85320419. The reversal of 85320400 is 402358.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5296 + ... + 14095.

Almost surely, 2^85320400 is an apocalyptic number.

85320400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85320400 is an abundant number, since it is smaller than the sum of its proper divisors (138308144).

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

85320400 is a wasteful number, since it uses less digits than its factorization.

85320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19420 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 85320400 is about 9236.9042433058. The cubic root of 85320400 is about 440.2347232467.

Adding to 85320400 its reverse (402358), we get a palindrome (85722758).

The spelling of 85320400 in words is "eighty-five million, three hundred twenty thousand, four hundred".