86071440 has 240 divisors, whose sum is σ = 334853568. Its totient is φ = 18127872.

The previous prime is 86071439. The next prime is 86071457. The reversal of 86071440 is 4417068.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 86071398 and 86071407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152599 + ... + 153161.

Almost surely, 2^86071440 is an apocalyptic number.

86071440 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 86071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167426784).

86071440 is an abundant number, since it is smaller than the sum of its proper divisors (248782128).

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

86071440 is a wasteful number, since it uses less digits than its factorization.

86071440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 86071440 is about 9277.4694825690. The cubic root of 86071440 is about 441.5226858715.

The spelling of 86071440 in words is "eighty-six million, seventy-one thousand, four hundred forty".