86619744 has 72 divisors (see below), whose sum is σ = 250057080. Its totient is φ = 28442304.

The previous prime is 86619737. The next prime is 86619749. The reversal of 86619744 is 44791668.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (290304) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86619744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86619749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292799 + ... + 1292865.

It is an arithmetic number, because the mean of its divisors is an integer number (3473015).

Almost surely, 2^86619744 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 86619744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125028540).

86619744 is an abundant number, since it is smaller than the sum of its proper divisors (163437336).

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

86619744 is an frugal number, since it uses more digits than its factorization.

86619744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 72 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86619744 is about 9306.9728698433. The cubic root of 86619744 is about 442.4582513519.

The spelling of 86619744 in words is "eighty-six million, six hundred nineteen thousand, seven hundred forty-four".