86302440 has 192 divisors, whose sum is σ = 334713600. Its totient is φ = 18855936.

The previous prime is 86302409. The next prime is 86302441. The reversal of 86302440 is 4420368.

86302440 is a `hidden beast` number, since 8 + 630 + 24 + 4 + 0 = 666.

It is a super-2 number, since 2×86302440² = 14896222299907200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86302441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57216 + ... + 58704.

It is an arithmetic number, because the mean of its divisors is an integer number (1743300).

Almost surely, 2^86302440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167356800).

86302440 is an abundant number, since it is smaller than the sum of its proper divisors (248411160).

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

86302440 is a wasteful number, since it uses less digits than its factorization.

86302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86302440 is about 9289.9106561904. The cubic root of 86302440 is about 441.9173217455.

The spelling of 86302440 in words is "eighty-six million, three hundred two thousand, four hundred forty".