86114640 has 40 divisors (see below), whose sum is σ = 266956128. Its totient is φ = 22963840.

The previous prime is 86114629. The next prime is 86114641. The reversal of 86114640 is 4641168.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 86114598 and 86114607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86114641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179166 + ... + 179645.

Almost surely, 2^86114640 is an apocalyptic number.

86114640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86114640 is an abundant number, since it is smaller than the sum of its proper divisors (180841488).

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

86114640 is a wasteful number, since it uses less digits than its factorization.

86114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358827 (or 358821 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86114640 is about 9279.7974115818. The cubic root of 86114640 is about 441.5965415346.

The spelling of 86114640 in words is "eighty-six million, one hundred fourteen thousand, six hundred forty".