535072640 has 64 divisors (see below), whose sum is σ = 1291736160. Its totient is φ = 211924992.

The previous prime is 535072639. The next prime is 535072669. The reversal of 535072640 is 46270535.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 535072597 and 535072606.

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, 61862 + ... + 69978.

Almost surely, 2^535072640 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 535072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645868080).

535072640 is an abundant number, since it is smaller than the sum of its proper divisors (756663520).

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

535072640 is a wasteful number, since it uses less digits than its factorization.

535072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 535072640 is about 23131.6372096745. The cubic root of 535072640 is about 811.8408773591.

The spelling of 535072640 in words is "five hundred thirty-five million, seventy-two thousand, six hundred forty".