86149440 has 336 divisors, whose sum is σ = 334670400. Its totient is φ = 20846592.

The previous prime is 86149423. The next prime is 86149447. The reversal of 86149440 is 4494168.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 86149395 and 86149404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86149447) 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, 1460131 + ... + 1460189.

Almost surely, 2^86149440 is an apocalyptic number.

86149440 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 86149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167335200).

86149440 is an abundant number, since it is smaller than the sum of its proper divisors (248520960).

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

86149440 is a wasteful number, since it uses less digits than its factorization.

86149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86149440 is about 9281.6722631216. The cubic root of 86149440 is about 441.6560184134.

The spelling of 86149440 in words is "eighty-six million, one hundred forty-nine thousand, four hundred forty".