86330048 has 56 divisors (see below), whose sum is σ = 197412864. Its totient is φ = 36691200.

The previous prime is 86330047. The next prime is 86330059. The reversal of 86330048 is 84003368.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 86329996 and 86330023.

It is not an unprimeable number, because it can be changed into a prime (86330047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57953 + ... + 59423.

Almost surely, 2^86330048 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 86330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98706432).

86330048 is an abundant number, since it is smaller than the sum of its proper divisors (111082816).

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

86330048 is a wasteful number, since it uses less digits than its factorization.

86330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 86330048 is about 9291.3964504804. The cubic root of 86330048 is about 441.9644395816.

The spelling of 86330048 in words is "eighty-six million, three hundred thirty thousand, forty-eight".