4642688 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 2078208.

The previous prime is 4642679. The next prime is 4642721. The reversal of 4642688 is 8862464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 4³ + 6⁶ + 4⁹ + 2¹⁹ + 6⁸ + 8⁵ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55895 + ... + 55977.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^4642688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

4642688 is an abundant number, since it is smaller than the sum of its proper divisors (5638912).

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

4642688 is a wasteful number, since it uses less digits than its factorization.

4642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 4642688 is about 2154.6897688530. The cubic root of 4642688 is about 166.8232200114.

It can be divided in two parts, 4 and 642688, that multiplied together give a palindrome (2570752).

The spelling of 4642688 in words is "four million, six hundred forty-two thousand, six hundred eighty-eight".