53677600 has 72 divisors (see below), whose sum is σ = 132061860. Its totient is φ = 21304320.

The previous prime is 53677583. The next prime is 53677601. The reversal of 53677600 is 677635.

It can be written as a sum of positive squares in 6 ways, for example, as 45859984 + 7817616 = 6772^2 + 2796^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53677601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183054 + ... + 183346.

Almost surely, 2^53677600 is an apocalyptic number.

53677600 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 53677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66030930).

53677600 is an abundant number, since it is smaller than the sum of its proper divisors (78384260).

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

53677600 is a wasteful number, since it uses less digits than its factorization.

53677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 53677600 is about 7326.4998464478. The cubic root of 53677600 is about 377.2225934430. Note that the first 3 decimals are identical.

The spelling of 53677600 in words is "fifty-three million, six hundred seventy-seven thousand, six hundred".