53646900 has 144 divisors (see below), whose sum is σ = 167864256. Its totient is φ = 13178880.

The previous prime is 53646893. The next prime is 53646907. The reversal of 53646900 is 964635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53646893) and next prime (53646907).

It is a super-2 number, since 2×53646900² = 5755979759220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53646907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341622 + ... + 341778.

It is an arithmetic number, because the mean of its divisors is an integer number (1165724).

Almost surely, 2^53646900 is an apocalyptic number.

53646900 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 53646900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83932128).

53646900 is an abundant number, since it is smaller than the sum of its proper divisors (114217356).

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

53646900 is a wasteful number, since it uses less digits than its factorization.

53646900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 53646900 is about 7324.4044126468. The cubic root of 53646900 is about 377.1506643569.

It can be divided in two parts, 53 and 646900, that added together give a triangular number (646953 = T₁₁₃₇).

The spelling of 53646900 in words is "fifty-three million, six hundred forty-six thousand, nine hundred".