48537600 has 168 divisors, whose sum is σ = 162519360. Its totient is φ = 12779520.

The previous prime is 48537581. The next prime is 48537607. The reversal of 48537600 is 673584.

It is a super-2 number, since 2×48537600² = 4711797227520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48537607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614361 + ... + 614439.

Almost surely, 2^48537600 is an apocalyptic number.

48537600 is a gapful number since it is divisible by the number (40) 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 48537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81259680).

48537600 is an abundant number, since it is smaller than the sum of its proper divisors (113981760).

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

48537600 is an equidigital number, since it uses as much as digits as its factorization.

48537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 48537600 is about 6966.8931382647. The cubic root of 48537600 is about 364.7758679020.

The spelling of 48537600 in words is "forty-eight million, five hundred thirty-seven thousand, six hundred".