86406814 has 32 divisors (see below), whose sum is σ = 146893824. Its totient is φ = 37820640.

The previous prime is 86406781. The next prime is 86406833. The reversal of 86406814 is 41860468.

86406814 = T₂₉₂ + T₂₉₃ + ... + T₈₁₅.

It is a super-2 number, since 2×86406814² = 14932275011261192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77787 + ... + 78889.

It is an arithmetic number, because the mean of its divisors is an integer number (4590432).

Almost surely, 2^86406814 is an apocalyptic number.

86406814 is a deficient number, since it is larger than the sum of its proper divisors (60487010).

86406814 is a wasteful number, since it uses less digits than its factorization.

86406814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272.

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 86406814 is about 9295.5265585119. The cubic root of 86406814 is about 442.0954012863.

The spelling of 86406814 in words is "eighty-six million, four hundred six thousand, eight hundred fourteen".