4029768 has 48 divisors (see below), whose sum is σ = 11045580. Its totient is φ = 1327104.

The previous prime is 4029763. The next prime is 4029787. The reversal of 4029768 is 8679204.

It can be written as a sum of positive squares in 2 ways, for example, as 3617604 + 412164 = 1902^2 + 642^2 .

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 (4029763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6696 + ... + 7272.

Almost surely, 2^4029768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522790).

4029768 is an abundant number, since it is smaller than the sum of its proper divisors (7015812).

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

4029768 is a wasteful number, since it uses less digits than its factorization.

4029768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4029768 is about 2007.4282054410. The cubic root of 4029768 is about 159.1329136631.

The spelling of 4029768 in words is "four million, twenty-nine thousand, seven hundred sixty-eight".