60126968 has 64 divisors (see below), whose sum is σ = 130705920. Its totient is φ = 25660800.

The previous prime is 60126967. The next prime is 60126973. The reversal of 60126968 is 86962106.

It is a super-3 number, since 3×60126968³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60126967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123221 + ... + 123707.

It is an arithmetic number, because the mean of its divisors is an integer number (2042280).

Almost surely, 2^60126968 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 60126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352960).

60126968 is an abundant number, since it is smaller than the sum of its proper divisors (70578952).

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

60126968 is a wasteful number, since it uses less digits than its factorization.

60126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 60126968 is about 7754.1581103302. The cubic root of 60126968 is about 391.7627156220.

The spelling of 60126968 in words is "sixty million, one hundred twenty-six thousand, nine hundred sixty-eight".