48690600 has 96 divisors (see below), whose sum is σ = 172518720. Its totient is φ = 11128320.

The previous prime is 48690589. The next prime is 48690611. The reversal of 48690600 is 609684.

It is an interprime number because it is at equal distance from previous prime (48690589) and next prime (48690611).

It is a congruent number.

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, 1597 + ... + 9996.

It is an arithmetic number, because the mean of its divisors is an integer number (1797070).

Almost surely, 2^48690600 is an apocalyptic number.

48690600 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 48690600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86259360).

48690600 is an abundant number, since it is smaller than the sum of its proper divisors (123828120).

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

48690600 is a wasteful number, since it uses less digits than its factorization.

48690600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 48690600 is about 6977.8650029934. The cubic root of 48690600 is about 365.1587474852.

The spelling of 48690600 in words is "forty-eight million, six hundred ninety thousand, six hundred".