60126000 has 160 divisors (see below), whose sum is σ = 211700736. Its totient is φ = 14560000.

The previous prime is 60125993. The next prime is 60126023. The reversal of 60126000 is 62106.

60126000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65545 + ... + 66455.

Almost surely, 2^60126000 is an apocalyptic number.

60126000 is a gapful number since it is divisible by the number (60) 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 60126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850368).

60126000 is an abundant number, since it is smaller than the sum of its proper divisors (151574736).

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

60126000 is a wasteful number, since it uses less digits than its factorization.

60126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 60126000 is about 7754.0956919553. The cubic root of 60126000 is about 391.7606132467.

Adding to 60126000 its reverse (62106), we get a palindrome (60188106).

The spelling of 60126000 in words is "sixty million, one hundred twenty-six thousand".