4002080 has 24 divisors (see below), whose sum is σ = 9455292. Its totient is φ = 1600768.

The previous prime is 4002077. The next prime is 4002101. The reversal of 4002080 is 802004.

It can be written as a sum of positive squares in 2 ways, for example, as 3701776 + 300304 = 1924^2 + 548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12347 + ... + 12666.

Almost surely, 2^4002080 is an apocalyptic number.

4002080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002080 is an abundant number, since it is smaller than the sum of its proper divisors (5453212).

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

4002080 is a wasteful number, since it uses less digits than its factorization.

4002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25028 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4002080 is about 2000.5199324176. The cubic root of 4002080 is about 158.7676153805.

Adding to 4002080 its reverse (802004), we get a palindrome (4804084).

The spelling of 4002080 in words is "four million, two thousand, eighty".