86890440 has 256 divisors, whose sum is σ = 328204800. Its totient is φ = 17915904.

The previous prime is 86890423. The next prime is 86890457. The reversal of 86890440 is 4409868.

It is an interprime number because it is at equal distance from previous prime (86890423) and next prime (86890457).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 797106 + ... + 797214.

It is an arithmetic number, because the mean of its divisors is an integer number (1282050).

Almost surely, 2^86890440 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 86890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164102400).

86890440 is an abundant number, since it is smaller than the sum of its proper divisors (241314360).

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

86890440 is a wasteful number, since it uses less digits than its factorization.

86890440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86890440 is about 9321.5041704652. The cubic root of 86890440 is about 442.9186818996.

The spelling of 86890440 in words is "eighty-six million, eight hundred ninety thousand, four hundred forty".