86993046 has 72 divisors (see below), whose sum is σ = 228923760. Its totient is φ = 23383296.

The previous prime is 86993003. The next prime is 86993083. The reversal of 86993046 is 64039968.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86992992 and 86993010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35220 + ... + 37608.

Almost surely, 2^86993046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86993046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114461880).

86993046 is an abundant number, since it is smaller than the sum of its proper divisors (141930714).

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

86993046 is a wasteful number, since it uses less digits than its factorization.

86993046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 86993046 is about 9327.0062721111. The cubic root of 86993046 is about 443.0929559141.

The spelling of 86993046 in words is "eighty-six million, nine hundred ninety-three thousand, forty-six".