53964810 has 48 divisors (see below), whose sum is σ = 141621480. Its totient is φ = 14256000.

The previous prime is 53964797. The next prime is 53964811. The reversal of 53964810 is 1846935.

53964810 is a `hidden beast` number, since 5 + 3 + 9 + 648 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53890281 + 74529 = 7341^2 + 273^2 .

It is a super-2 number, since 2×53964810² = 5824401436672200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53964811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7060 + ... + 12560.

Almost surely, 2^53964810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53964810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70810740).

53964810 is an abundant number, since it is smaller than the sum of its proper divisors (87656670).

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

53964810 is a wasteful number, since it uses less digits than its factorization.

53964810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53964810 is about 7346.0744619150. The cubic root of 53964810 is about 377.8941922719.

The spelling of 53964810 in words is "fifty-three million, nine hundred sixty-four thousand, eight hundred ten".