4045968 has 30 divisors (see below), whose sum is σ = 11323494. Its totient is φ = 1348608.

The previous prime is 4045963. The next prime is 4045969. The reversal of 4045968 is 8695404.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 1937664 = 1452^2 + 1392^2 .

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 (4045961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13905 + ... + 14192.

Almost surely, 2^4045968 is an apocalyptic number.

4045968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4045968 is an abundant number, since it is smaller than the sum of its proper divisors (7277526).

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

4045968 is a wasteful number, since it uses less digits than its factorization.

4045968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28111 (or 28102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4045968 is about 2011.4591718452. The cubic root of 4045968 is about 159.3458710317.

The spelling of 4045968 in words is "four million, forty-five thousand, nine hundred sixty-eight".