53186464 has 48 divisors (see below), whose sum is σ = 111321000. Its totient is φ = 24966144.

The previous prime is 53186459. The next prime is 53186467. The reversal of 53186464 is 46468135.

It is a happy number.

53186464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50296464 + 2890000 = 7092^2 + 1700^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53186467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33562 + ... + 35110.

Almost surely, 2^53186464 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 53186464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55660500).

53186464 is an abundant number, since it is smaller than the sum of its proper divisors (58134536).

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

53186464 is a wasteful number, since it uses less digits than its factorization.

53186464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1617 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 53186464 is about 7292.9050453163. The cubic root of 53186464 is about 376.0685705634.

The spelling of 53186464 in words is "fifty-three million, one hundred eighty-six thousand, four hundred sixty-four".