533979648 has 240 divisors, whose sum is σ = 1683776160. Its totient is φ = 167049216.

The previous prime is 533979647. The next prime is 533979679. The reversal of 533979648 is 846979335.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 533979594 and 533979603.

It is not an unprimeable number, because it can be changed into a prime (533979647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4990411 + ... + 4990517.

It is an arithmetic number, because the mean of its divisors is an integer number (7015734).

Almost surely, 2^533979648 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 533979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841888080).

533979648 is an abundant number, since it is smaller than the sum of its proper divisors (1149796512).

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

533979648 is a wasteful number, since it uses less digits than its factorization.

533979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 533979648 is about 23107.9996537995. Note that the first 3 decimals coincide. The cubic root of 533979648 is about 811.2877185350.

The spelling of 533979648 in words is "five hundred thirty-three million, nine hundred seventy-nine thousand, six hundred forty-eight".