53667600 has 120 divisors (see below), whose sum is σ = 196505280. Its totient is φ = 12264960.

The previous prime is 53667599. The next prime is 53667611. The reversal of 53667600 is 676635.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×53667600² = 5760422579520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5206 + ... + 11594.

It is an arithmetic number, because the mean of its divisors is an integer number (1637544).

Almost surely, 2^53667600 is an apocalyptic number.

53667600 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 53667600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98252640).

53667600 is an abundant number, since it is smaller than the sum of its proper divisors (142837680).

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

53667600 is a wasteful number, since it uses less digits than its factorization.

53667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 53667600 is about 7325.8173605407. The cubic root of 53667600 is about 377.1991667857.

The spelling of 53667600 in words is "fifty-three million, six hundred sixty-seven thousand, six hundred".