535084880 has 80 divisors (see below), whose sum is σ = 1416230784. Its totient is φ = 186109440.

The previous prime is 535084871. The next prime is 535084889. The reversal of 535084880 is 88480535.

It is an interprime number because it is at equal distance from previous prime (535084871) and next prime (535084889).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×535084880² = 572631657609228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535084889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7022 + ... + 33458.

Almost surely, 2^535084880 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 535084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708115392).

535084880 is an abundant number, since it is smaller than the sum of its proper divisors (881145904).

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

535084880 is a wasteful number, since it uses less digits than its factorization.

535084880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26484 (or 26478 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 535084880 is about 23131.9017808740. The cubic root of 535084880 is about 811.8470677065.

The spelling of 535084880 in words is "five hundred thirty-five million, eighty-four thousand, eight hundred eighty".