53697600 has 336 divisors, whose sum is σ = 215432640. Its totient is φ = 12902400.

The previous prime is 53697599. The next prime is 53697607. The reversal of 53697600 is 679635.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (53697607) 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 47 ways as a sum of consecutive naturals, for example, 475144 + ... + 475256.

Almost surely, 2^53697600 is an apocalyptic number.

53697600 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 53697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107716320).

53697600 is an abundant number, since it is smaller than the sum of its proper divisors (161735040).

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

53697600 is a wasteful number, since it uses less digits than its factorization.

53697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 53697600 is about 7327.8646275706. The cubic root of 53697600 is about 377.2694380302.

The spelling of 53697600 in words is "fifty-three million, six hundred ninety-seven thousand, six hundred".