86924016 has 120 divisors (see below), whose sum is σ = 256372480. Its totient is φ = 28506816.

The previous prime is 86924003. The next prime is 86924021. The reversal of 86924016 is 61042968.

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 23 ways as a sum of consecutive naturals, for example, 307011 + ... + 307293.

Almost surely, 2^86924016 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 86924016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128186240).

86924016 is an abundant number, since it is smaller than the sum of its proper divisors (169448464).

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

86924016 is a wasteful number, since it uses less digits than its factorization.

86924016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86924016 is about 9323.3049934023. The cubic root of 86924016 is about 442.9757250854.

The spelling of 86924016 in words is "eighty-six million, nine hundred twenty-four thousand, sixteen".