86050048 has 72 divisors (see below), whose sum is σ = 202764800. Its totient is φ = 35665920.

The previous prime is 86050037. The next prime is 86050057. The reversal of 86050048 is 84005068.

It is a super-3 number, since 3×86050048³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54778 + ... + 56326.

Almost surely, 2^86050048 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 86050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101382400).

86050048 is an abundant number, since it is smaller than the sum of its proper divisors (116714752).

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

86050048 is a wasteful number, since it uses less digits than its factorization.

86050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 86050048 is about 9276.3165103397. The cubic root of 86050048 is about 441.4861044925.

The spelling of 86050048 in words is "eighty-six million, fifty thousand, forty-eight".