53826696 has 288 divisors, whose sum is σ = 197402400. Its totient is φ = 13063680.

The previous prime is 53826691. The next prime is 53826713. The reversal of 53826696 is 69662835.

53826696 = 1024² + 1025² + ... + 1072².

It is a happy number.

53826696 is a `hidden beast` number, since 538 + 26 + 6 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (53826691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 737316 + ... + 737388.

It is an arithmetic number, because the mean of its divisors is an integer number (685425).

Almost surely, 2^53826696 is an apocalyptic number.

53826696 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 53826696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98701200).

53826696 is an abundant number, since it is smaller than the sum of its proper divisors (143575704).

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

53826696 is a wasteful number, since it uses less digits than its factorization.

53826696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 53826696 is about 7336.6679085263. The cubic root of 53826696 is about 377.5715309679.

The spelling of 53826696 in words is "fifty-three million, eight hundred twenty-six thousand, six hundred ninety-six".