4006368 has 48 divisors (see below), whose sum is σ = 11687760. Its totient is φ = 1335168.

The previous prime is 4006363. The next prime is 4006381. The reversal of 4006368 is 8636004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455 + ... + 3182.

It is an arithmetic number, because the mean of its divisors is an integer number (243495).

Almost surely, 2^4006368 is an apocalyptic number.

4006368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4006368 is an abundant number, since it is smaller than the sum of its proper divisors (7681392).

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

4006368 is a wasteful number, since it uses less digits than its factorization.

4006368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4006368 is about 2001.5913668879. The cubic root of 4006368 is about 158.8242986165.

The spelling of 4006368 in words is "four million, six thousand, three hundred sixty-eight".