86370048 has 108 divisors (see below), whose sum is σ = 262265640. Its totient is φ = 27260928.

The previous prime is 86370043. The next prime is 86370103. The reversal of 86370048 is 84007368.

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

It is a junction number, because it is equal to n+sod(n) for n = 86369994 and 86370021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86370043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42790 + ... + 44762.

Almost surely, 2^86370048 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 86370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131132820).

86370048 is an abundant number, since it is smaller than the sum of its proper divisors (175895592).

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

86370048 is a wasteful number, since it uses less digits than its factorization.

86370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86370048 is about 9293.5487301676. The cubic root of 86370048 is about 442.0326886957.

The spelling of 86370048 in words is "eighty-six million, three hundred seventy thousand, forty-eight".