52676000 has 96 divisors (see below), whose sum is σ = 139518288. Its totient is φ = 19430400.

The previous prime is 52675991. The next prime is 52676009. The reversal of 52676000 is 67625.

It is an interprime number because it is at equal distance from previous prime (52675991) and next prime (52676009).

It can be written as a sum of positive squares in 8 ways, for example, as 7463824 + 45212176 = 2732^2 + 6724^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (52676009) 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 15 ways as a sum of consecutive naturals, for example, 51494 + ... + 52506.

Almost surely, 2^52676000 is an apocalyptic number.

52676000 is a gapful number since it is divisible by the number (50) 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 52676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69759144).

52676000 is an abundant number, since it is smaller than the sum of its proper divisors (86842288).

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

52676000 is a wasteful number, since it uses less digits than its factorization.

52676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 52676000 is about 7257.8233651695. The cubic root of 52676000 is about 374.8615785412.

The spelling of 52676000 in words is "fifty-two million, six hundred seventy-six thousand".