86123520 has 352 divisors, whose sum is σ = 353721600. Its totient is φ = 19464192.

The previous prime is 86123503. The next prime is 86123593. The reversal of 86123520 is 2532168.

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 31 ways as a sum of consecutive naturals, for example, 967636 + ... + 967724.

Almost surely, 2^86123520 is an apocalyptic number.

86123520 is a gapful number since it is divisible by the number (80) 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 86123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176860800).

86123520 is an abundant number, since it is smaller than the sum of its proper divisors (267598080).

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

86123520 is a wasteful number, since it uses less digits than its factorization.

86123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

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

The square root of 86123520 is about 9280.2758579689. The cubic root of 86123520 is about 441.6117199158.

Adding to 86123520 its reverse (2532168), we get a palindrome (88655688).

The spelling of 86123520 in words is "eighty-six million, one hundred twenty-three thousand, five hundred twenty".