53344764 has 96 divisors (see below), whose sum is σ = 152974080. Its totient is φ = 15940800.

The previous prime is 53344763. The next prime is 53344771. The reversal of 53344764 is 46744335.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (120960) is a multiple of the sum of its prime divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53344763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98334 + ... + 98874.

It is an arithmetic number, because the mean of its divisors is an integer number (1593480).

Almost surely, 2^53344764 is an apocalyptic number.

53344764 is a gapful number since it is divisible by the number (54) 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 53344764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76487040).

53344764 is an abundant number, since it is smaller than the sum of its proper divisors (99629316).

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

53344764 is a wasteful number, since it uses less digits than its factorization.

53344764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 53344764 is about 7303.7499957214. The cubic root of 53344764 is about 376.4413013044.

The spelling of 53344764 in words is "fifty-three million, three hundred forty-four thousand, seven hundred sixty-four".