126875616 has 144 divisors (see below), whose sum is σ = 402482304. Its totient is φ = 34276608.

The previous prime is 126875611. The next prime is 126875633. The reversal of 126875616 is 616578621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126875611) 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, 242331 + ... + 242853.

It is an arithmetic number, because the mean of its divisors is an integer number (2795016).

Almost surely, 2^126875616 is an apocalyptic number.

126875616 is a gapful number since it is divisible by the number (16) 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 126875616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201241152).

126875616 is an abundant number, since it is smaller than the sum of its proper divisors (275606688).

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

126875616 is a wasteful number, since it uses less digits than its factorization.

126875616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 554 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 126875616 is about 11263.9076700761. The cubic root of 126875616 is about 502.4884163563.

The spelling of 126875616 in words is "one hundred twenty-six million, eight hundred seventy-five thousand, six hundred sixteen".