126621440 has 216 divisors, whose sum is σ = 366227568. Its totient is φ = 41451520.

The previous prime is 126621433. The next prime is 126621449. The reversal of 126621440 is 44126621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126621449) 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, 5505269 + ... + 5505291.

It is an arithmetic number, because the mean of its divisors is an integer number (1695498).

Almost surely, 2^126621440 is an apocalyptic number.

126621440 is a gapful number since it is divisible by the number (10) 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 126621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183113784).

126621440 is an abundant number, since it is smaller than the sum of its proper divisors (239606128).

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

126621440 is a wasteful number, since it uses less digits than its factorization.

126621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 126621440 is about 11252.6192506456. The cubic root of 126621440 is about 502.1526389907.

The spelling of 126621440 in words is "one hundred twenty-six million, six hundred twenty-one thousand, four hundred forty".