53692800 has 384 divisors, whose sum is σ = 218557440. Its totient is φ = 11304960.

The previous prime is 53692789. The next prime is 53692813. The reversal of 53692800 is 829635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142377 + ... + 1142423.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^53692800 is an apocalyptic number.

53692800 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 53692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

53692800 is an abundant number, since it is smaller than the sum of its proper divisors (164864640).

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

53692800 is a wasteful number, since it uses less digits than its factorization.

53692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 53692800 is about 7327.5371032837. The cubic root of 53692800 is about 377.2581963902.

The spelling of 53692800 in words is "fifty-three million, six hundred ninety-two thousand, eight hundred".