5077968 has 120 divisors (see below), whose sum is σ = 16284672. Its totient is φ = 1354752.

The previous prime is 5077967. The next prime is 5077993. The reversal of 5077968 is 8697705.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077967) 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 23 ways as a sum of consecutive naturals, for example, 39921 + ... + 40047.

Almost surely, 2^5077968 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 5077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142336).

5077968 is an abundant number, since it is smaller than the sum of its proper divisors (11206704).

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

5077968 is a wasteful number, since it uses less digits than its factorization.

5077968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5077968 is about 2253.4347117234. The cubic root of 5077968 is about 171.8818369952.

The spelling of 5077968 in words is "five million, seventy-seven thousand, nine hundred sixty-eight".