534936960 has 320 divisors, whose sum is σ = 2026062720. Its totient is φ = 134037504.

The previous prime is 534936949. The next prime is 534936971. The reversal of 534936960 is 69639435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534936949) and next prime (534936971).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880977 + ... + 881583.

It is an arithmetic number, because the mean of its divisors is an integer number (6331446).

Almost surely, 2^534936960 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 534936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013031360).

534936960 is an abundant number, since it is smaller than the sum of its proper divisors (1491125760).

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

534936960 is a wasteful number, since it uses less digits than its factorization.

534936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 534936960 is about 23128.7042438611. The cubic root of 534936960 is about 811.7722512364.

The spelling of 534936960 in words is "five hundred thirty-four million, nine hundred thirty-six thousand, nine hundred sixty".