126884640 has 48 divisors (see below), whose sum is σ = 399688128. Its totient is φ = 33835776.

The previous prime is 126884623. The next prime is 126884647. The reversal of 126884640 is 46488621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×126884640³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126884647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131692 + ... + 132651.

It is an arithmetic number, because the mean of its divisors is an integer number (8326836).

Almost surely, 2^126884640 is an apocalyptic number.

126884640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126884640 is an abundant number, since it is smaller than the sum of its proper divisors (272803488).

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

126884640 is a wasteful number, since it uses less digits than its factorization.

126884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264361 (or 264353 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 126884640 is about 11264.3082344190. The cubic root of 126884640 is about 502.5003291996.

The spelling of 126884640 in words is "one hundred twenty-six million, eight hundred eighty-four thousand, six hundred forty".