86721408 has 128 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 27624960.

The previous prime is 86721361. The next prime is 86721413. The reversal of 86721408 is 80412768.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 78943 + ... + 80033.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^86721408 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 86721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

86721408 is an abundant number, since it is smaller than the sum of its proper divisors (180600192).

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

86721408 is a wasteful number, since it uses less digits than its factorization.

86721408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86721408 is about 9312.4329796246. The cubic root of 86721408 is about 442.6312853772.

The spelling of 86721408 in words is "eighty-six million, seven hundred twenty-one thousand, four hundred eight".