534957696 has 432 divisors, whose sum is σ = 2002545090. Its totient is φ = 141087744.

The previous prime is 534957691. The next prime is 534957697. The reversal of 534957696 is 696759435.

It can be written as a sum of positive squares in only one way, i.e., 514382400 + 20575296 = 22680^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (6123600) is a multiple of the sum of its prime divisors (25).

It is not an unprimeable number, because it can be changed into a prime (534957691) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41150586 + ... + 41150598.

Almost surely, 2^534957696 is an apocalyptic number.

534957696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001272545).

534957696 is an abundant number, since it is smaller than the sum of its proper divisors (1467587394).

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

534957696 is an frugal number, since it uses more digits than its factorization.

534957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 534957696 is about 23129.1525136569. The cubic root of 534957696 is about 811.7827401309.

The spelling of 534957696 in words is "five hundred thirty-four million, nine hundred fifty-seven thousand, six hundred ninety-six".