53949600 has 216 divisors, whose sum is σ = 194987520. Its totient is φ = 14031360.

The previous prime is 53949593. The next prime is 53949611. The reversal of 53949600 is 694935.

53949600 is a `hidden beast` number, since 5 + 3 + 9 + 49 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424737 + ... + 424863.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^53949600 is an apocalyptic number.

53949600 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 53949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

53949600 is an abundant number, since it is smaller than the sum of its proper divisors (141037920).

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

53949600 is a wasteful number, since it uses less digits than its factorization.

53949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 53949600 is about 7345.0391421694. The cubic root of 53949600 is about 377.8586857338.

The spelling of 53949600 in words is "fifty-three million, nine hundred forty-nine thousand, six hundred".