85508400 has 60 divisors (see below), whose sum is σ = 273915752. Its totient is φ = 22801920.

The previous prime is 85508399. The next prime is 85508473. The reversal of 85508400 is 480558.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34429 + ... + 36828.

Almost surely, 2^85508400 is an apocalyptic number.

85508400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85508400 is an abundant number, since it is smaller than the sum of its proper divisors (188407352).

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

85508400 is a wasteful number, since it uses less digits than its factorization.

85508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71278 (or 71267 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 85508400 is about 9247.0752132769. The cubic root of 85508400 is about 440.5578324255.

Adding to 85508400 its reverse (480558), we get a palindrome (85988958).

The spelling of 85508400 in words is "eighty-five million, five hundred eight thousand, four hundred".