86495640 has 384 divisors, whose sum is σ = 349332480. Its totient is φ = 16727040.

The previous prime is 86495627. The next prime is 86495671. The reversal of 86495640 is 4659468.

86495640 = T₁₃₉ + T₁₄₀ + ... + T₈₀₄.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86495592 and 86495601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2337702 + ... + 2337738.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 2^86495640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86495640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

86495640 is an abundant number, since it is smaller than the sum of its proper divisors (262836840).

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

86495640 is a wasteful number, since it uses less digits than its factorization.

86495640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 86495640 is about 9300.3032208633. The cubic root of 86495640 is about 442.2468404133.

The spelling of 86495640 in words is "eighty-six million, four hundred ninety-five thousand, six hundred forty".