977568 has 48 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 306176.

The previous prime is 977567. The next prime is 977591. The reversal of 977568 is 865779.

977568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 9⁵ + 7⁵ + 5⁷ + 7⁷ + 6² + 8 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977567) 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, 1333 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁹⁷⁷⁵⁶⁸ 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 977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

977568 is an abundant number, since it is smaller than the sum of its proper divisors (1744032).

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

977568 is a wasteful number, since it uses less digits than its factorization.

977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

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

The square root of 977568 is about 988.7203851444. The cubic root of 977568 is about 99.2466048789.

It can be divided in two parts, 9 and 77568, that added together give a palindrome (77577).

The spelling of 977568 in words is "nine hundred seventy-seven thousand, five hundred sixty-eight".