85234464 has 192 divisors, whose sum is σ = 301190400. Its totient is φ = 22892544.

The previous prime is 85234463. The next prime is 85234483. The reversal of 85234464 is 46443258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85234463) 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, 102402 + ... + 103230.

It is an arithmetic number, because the mean of its divisors is an integer number (1568700).

Almost surely, 2^85234464 is an apocalyptic number.

85234464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595200).

85234464 is an abundant number, since it is smaller than the sum of its proper divisors (215955936).

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

85234464 is a wasteful number, since it uses less digits than its factorization.

85234464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 85234464 is about 9232.2512964065. The cubic root of 85234464 is about 440.0868699004.

The spelling of 85234464 in words is "eighty-five million, two hundred thirty-four thousand, four hundred sixty-four".