86521440 has 192 divisors, whose sum is σ = 293932800. Its totient is φ = 21325824.

The previous prime is 86521427. The next prime is 86521447. The reversal of 86521440 is 4412568.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86521398 and 86521407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86521447) 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, 483271 + ... + 483449.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^86521440 is an apocalyptic number.

86521440 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 86521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

86521440 is an abundant number, since it is smaller than the sum of its proper divisors (207411360).

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

86521440 is a wasteful number, since it uses less digits than its factorization.

86521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 86521440 is about 9301.6901689962. The cubic root of 86521440 is about 442.2908073085.

The spelling of 86521440 in words is "eighty-six million, five hundred twenty-one thousand, four hundred forty".