85953810 has 32 divisors (see below), whose sum is σ = 210185280. Its totient is φ = 22488128.

The previous prime is 85953799. The next prime is 85953811. The reversal of 85953810 is 1835958.

It is a super-2 number, since 2×85953810² = 14776114907032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85953811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25440 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (6568290).

Almost surely, 2^85953810 is an apocalyptic number.

85953810 is an abundant number, since it is smaller than the sum of its proper divisors (124231470).

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

85953810 is a wasteful number, since it uses less digits than its factorization.

85953810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54122.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 85953810 is about 9271.1277631149. The cubic root of 85953810 is about 441.3214577165.

The spelling of 85953810 in words is "eighty-five million, nine hundred fifty-three thousand, eight hundred ten".