52759840 has 144 divisors (see below), whose sum is σ = 152252352. Its totient is φ = 16920576.

The previous prime is 52759783. The next prime is 52759841. The reversal of 52759840 is 4895725.

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

It is a junction number, because it is equal to n+sod(n) for n = 52759793 and 52759802.

It is not an unprimeable number, because it can be changed into a prime (52759841) 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, 323599 + ... + 323761.

It is an arithmetic number, because the mean of its divisors is an integer number (1057308).

It is a vampire number, since it can be written as 5705 ⋅ 9248 (with its own digits).

Almost surely, 2^52759840 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 52759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76126176).

52759840 is an abundant number, since it is smaller than the sum of its proper divisors (99492512).

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

52759840 is a wasteful number, since it uses less digits than its factorization.

52759840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 52759840 is about 7263.5969051153. The cubic root of 52759840 is about 375.0603517681.

The spelling of 52759840 in words is "fifty-two million, seven hundred fifty-nine thousand, eight hundred forty".