52678640 has 80 divisors (see below), whose sum is σ = 147371520. Its totient is φ = 17107200.

The previous prime is 52678607. The next prime is 52678643. The reversal of 52678640 is 4687625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×52678640² = 5550078224499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 52678594 and 52678603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52678643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8165 + ... + 13115.

It is an arithmetic number, because the mean of its divisors is an integer number (1842144).

Almost surely, 2^52678640 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 52678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73685760).

52678640 is an abundant number, since it is smaller than the sum of its proper divisors (94692880).

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

52678640 is a wasteful number, since it uses less digits than its factorization.

52678640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 52678640 is about 7258.0052356002. The cubic root of 52678640 is about 374.8678408368.

The spelling of 52678640 in words is "fifty-two million, six hundred seventy-eight thousand, six hundred forty".