86651040 has 384 divisors, whose sum is σ = 347493888. Its totient is φ = 17694720.

The previous prime is 86651011. The next prime is 86651053. The reversal of 86651040 is 4015668.

86651040 = T₄₉₁ + T₄₉₂ + ... + T₈₆₀.

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 = 86650989 and 86651007.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 697 × 185 × 672.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2113420 + ... + 2113460.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^86651040 is an apocalyptic number.

86651040 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 86651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

86651040 is an abundant number, since it is smaller than the sum of its proper divisors (260842848).

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

86651040 is a wasteful number, since it uses less digits than its factorization.

86651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 86651040 is about 9308.6540380444. The cubic root of 86651040 is about 442.5115321454.

The spelling of 86651040 in words is "eighty-six million, six hundred fifty-one thousand, forty".