86966640 has 180 divisors, whose sum is σ = 304600296. Its totient is φ = 22224384.

The previous prime is 86966639. The next prime is 86966647. The reversal of 86966640 is 4666968.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86966647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1640854 + ... + 1640906.

Almost surely, 2^86966640 is an apocalyptic number.

86966640 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 86966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152300148).

86966640 is an abundant number, since it is smaller than the sum of its proper divisors (217633656).

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

86966640 is a wasteful number, since it uses less digits than its factorization.

86966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 86966640 is about 9325.5905979193. The cubic root of 86966640 is about 443.0481190098.

The spelling of 86966640 in words is "eighty-six million, nine hundred sixty-six thousand, six hundred forty".