4677642 has 48 divisors (see below), whose sum is σ = 10870080. Its totient is φ = 1490832.

The previous prime is 4677623. The next prime is 4677653. The reversal of 4677642 is 2467764.

4677642 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4677597 and 4677606.

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, 45363 + ... + 45465.

It is an arithmetic number, because the mean of its divisors is an integer number (226460).

Almost surely, 2^4677642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4677642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435040).

4677642 is an abundant number, since it is smaller than the sum of its proper divisors (6192438).

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

4677642 is a wasteful number, since it uses less digits than its factorization.

4677642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4677642 is about 2162.7857036702. The cubic root of 4677642 is about 167.2408348252.

The spelling of 4677642 in words is "four million, six hundred seventy-seven thousand, six hundred forty-two".