48600684 has 144 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 13737600.

The previous prime is 48600683. The next prime is 48600691.

48600684 is a `hidden beast` number, since 48 + 600 + 6 + 8 + 4 = 666.

48600684 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48600683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454159 + ... + 454265.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 2^48600684 is an apocalyptic number.

48600684 is a gapful number since it is divisible by the number (44) 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 48600684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

48600684 is an abundant number, since it is smaller than the sum of its proper divisors (94809492).

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

48600684 is a wasteful number, since it uses less digits than its factorization.

48600684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48600684 is about 6971.4190807898. The cubic root of 48600684 is about 364.9338317536.

It can be divided in two parts, 48600 and 684, that added together give a square (49284 = 222²).

The spelling of 48600684 in words is "forty-eight million, six hundred thousand, six hundred eighty-four".