4073960 has 64 divisors (see below), whose sum is σ = 10264320. Its totient is φ = 1442560.

The previous prime is 4073957. The next prime is 4073963. The reversal of 4073960 is 693704.

It is an interprime number because it is at equal distance from previous prime (4073957) and next prime (4073963).

It is not an unprimeable number, because it can be changed into a prime (4073963) 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, 20582 + ... + 20778.

It is an arithmetic number, because the mean of its divisors is an integer number (160380).

Almost surely, 2^4073960 is an apocalyptic number.

4073960 is a gapful number since it is divisible by the number (40) 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 4073960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132160).

4073960 is an abundant number, since it is smaller than the sum of its proper divisors (6190360).

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

4073960 is a wasteful number, since it uses less digits than its factorization.

4073960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 4073960 is about 2018.4053111305. The cubic root of 4073960 is about 159.7125045576.

It can be divided in two parts, 40 and 73960, that multiplied together give a square (2958400 = 1720²).

The spelling of 4073960 in words is "four million, seventy-three thousand, nine hundred sixty".