85463100 has 108 divisors (see below), whose sum is σ = 277879784. Its totient is φ = 22783680.

The previous prime is 85463099. The next prime is 85463129. The reversal of 85463100 is 136458.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×85463100² = 14607882923220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22542 + ... + 26058.

Almost surely, 2^85463100 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 85463100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138939892).

85463100 is an abundant number, since it is smaller than the sum of its proper divisors (192416684).

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

85463100 is a wasteful number, since it uses less digits than its factorization.

85463100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3527 counting only the distinct ones).

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

The square root of 85463100 is about 9244.6254656422. The cubic root of 85463100 is about 440.4800202062.

Adding to 85463100 its reverse (136458), we get a palindrome (85599558).

The spelling of 85463100 in words is "eighty-five million, four hundred sixty-three thousand, one hundred".