52769920 has 64 divisors (see below), whose sum is σ = 144187200. Its totient is φ = 18091008.

The previous prime is 52769917. The next prime is 52769929. The reversal of 52769920 is 2996725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (52769929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1410 + ... + 10369.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^52769920 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 52769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72093600).

52769920 is an abundant number, since it is smaller than the sum of its proper divisors (91417280).

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

52769920 is a wasteful number, since it uses less digits than its factorization.

52769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 52769920 is about 7264.2907430802. The cubic root of 52769920 is about 375.0842358916.

The spelling of 52769920 in words is "fifty-two million, seven hundred sixty-nine thousand, nine hundred twenty".