85263024 has 320 divisors, whose sum is σ = 308551680. Its totient is φ = 19599360.

The previous prime is 85262999. The next prime is 85263049. The reversal of 85263024 is 42036258.

It is an interprime number because it is at equal distance from previous prime (85262999) and next prime (85263049).

It is a junction number, because it is equal to n+sod(n) for n = 85262982 and 85263000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1445107 + ... + 1445165.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^85263024 is an apocalyptic number.

85263024 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 85263024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

85263024 is an abundant number, since it is smaller than the sum of its proper divisors (223288656).

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

85263024 is a wasteful number, since it uses less digits than its factorization.

85263024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 85263024 is about 9233.7979185165. The cubic root of 85263024 is about 440.1360185539.

The spelling of 85263024 in words is "eighty-five million, two hundred sixty-three thousand, twenty-four".