6077568 has 192 divisors, whose sum is σ = 20930400. Its totient is φ = 1548288.

The previous prime is 6077567. The next prime is 6077573. The reversal of 6077568 is 8657706.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6077567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319863 + ... + 319881.

Almost surely, 2^6077568 is an apocalyptic number.

6077568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

6077568 is an abundant number, since it is smaller than the sum of its proper divisors (14852832).

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

6077568 is a wasteful number, since it uses less digits than its factorization.

6077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6077568 is about 2465.2723987422. The cubic root of 6077568 is about 182.4917666893.

The spelling of 6077568 in words is "six million, seventy-seven thousand, five hundred sixty-eight".