4405968 has 160 divisors (see below), whose sum is σ = 15237120. Its totient is φ = 1192320.

The previous prime is 4405927. The next prime is 4405979. The reversal of 4405968 is 8695044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93721 + ... + 93767.

It is an arithmetic number, because the mean of its divisors is an integer number (95232).

Almost surely, 2^4405968 is an apocalyptic number.

4405968 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 4405968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618560).

4405968 is an abundant number, since it is smaller than the sum of its proper divisors (10831152).

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

4405968 is a wasteful number, since it uses less digits than its factorization.

4405968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

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

The square root of 4405968 is about 2099.0397804711. The cubic root of 4405968 is about 163.9383071545.

The spelling of 4405968 in words is "four million, four hundred five thousand, nine hundred sixty-eight".