4627968 has 80 divisors (see below), whose sum is σ = 12963456. Its totient is φ = 1464320.

The previous prime is 4627943. The next prime is 4628003. The reversal of 4627968 is 8697264.

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, 35263 + ... + 35393.

Almost surely, 2^4627968 is an apocalyptic number.

4627968 is a gapful number since it is divisible by the number (48) 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 4627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728).

4627968 is an abundant number, since it is smaller than the sum of its proper divisors (8335488).

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

4627968 is a wasteful number, since it uses less digits than its factorization.

4627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 4627968 is about 2151.2712520740. The cubic root of 4627968 is about 166.6467247251.

The spelling of 4627968 in words is "four million, six hundred twenty-seven thousand, nine hundred sixty-eight".