53794960 has 40 divisors (see below), whose sum is σ = 125940600. Its totient is φ = 21368832.

The previous prime is 53794957. The next prime is 53794963. The reversal of 53794960 is 6949735.

It is an interprime number because it is at equal distance from previous prime (53794957) and next prime (53794963).

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 49730704 = 2016^2 + 7052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (53794963) 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 7 ways as a sum of consecutive naturals, for example, 9664 + ... + 14176.

It is an arithmetic number, because the mean of its divisors is an integer number (3148515).

Almost surely, 2^53794960 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 53794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62970300).

53794960 is an abundant number, since it is smaller than the sum of its proper divisors (72145640).

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

53794960 is a wasteful number, since it uses less digits than its factorization.

53794960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 53794960 is about 7334.5047549238. The cubic root of 53794960 is about 377.4973115023.

The spelling of 53794960 in words is "fifty-three million, seven hundred ninety-four thousand, nine hundred sixty".