4132968 has 64 divisors (see below), whose sum is σ = 12005760. Its totient is φ = 1161216.

The previous prime is 4132967. The next prime is 4132969. The reversal of 4132968 is 8692314.

It is an interprime number because it is at equal distance from previous prime (4132967) and next prime (4132969).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4132963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12096 + ... + 12432.

It is an arithmetic number, because the mean of its divisors is an integer number (187590).

Almost surely, 2^4132968 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 4132968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002880).

4132968 is an abundant number, since it is smaller than the sum of its proper divisors (7872792).

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

4132968 is a wasteful number, since it uses less digits than its factorization.

4132968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

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

The square root of 4132968 is about 2032.9702408053. The cubic root of 4132968 is about 160.4799132479.

The spelling of 4132968 in words is "four million, one hundred thirty-two thousand, nine hundred sixty-eight".