506697600 has 192 divisors, whose sum is σ = 1705962240. Its totient is φ = 132126720.

The previous prime is 506697589. The next prime is 506697601. The reversal of 506697600 is 6796605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506697601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450639 + ... + 451761.

It is an arithmetic number, because the mean of its divisors is an integer number (8885220).

Almost surely, 2^506697600 is an apocalyptic number.

506697600 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 506697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852981120).

506697600 is an abundant number, since it is smaller than the sum of its proper divisors (1199264640).

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

506697600 is a wasteful number, since it uses less digits than its factorization.

506697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 506697600 is about 22509.9444690563. The cubic root of 506697600 is about 797.2287445975.

The spelling of 506697600 in words is "five hundred six million, six hundred ninety-seven thousand, six hundred".