126891648 has 192 divisors, whose sum is σ = 405623400. Its totient is φ = 37822464.

The previous prime is 126891641. The next prime is 126891673. The reversal of 126891648 is 846198621.

It can be written as a sum of positive squares in 4 ways, for example, as 125619264 + 1272384 = 11208^2 + 1128^2 .

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

It is a super-2 number, since 2×126891648² = 32202980664311808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126891641) 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, 553998 + ... + 554226.

Almost surely, 2^126891648 is an apocalyptic number.

126891648 is a gapful number since it is divisible by the number (18) 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 126891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202811700).

126891648 is an abundant number, since it is smaller than the sum of its proper divisors (278731752).

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

126891648 is a wasteful number, since it uses less digits than its factorization.

126891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 126891648 is about 11264.6193011571. The cubic root of 126891648 is about 502.5095802733.

The spelling of 126891648 in words is "one hundred twenty-six million, eight hundred ninety-one thousand, six hundred forty-eight".