126038640 has 320 divisors, whose sum is σ = 499968000. Its totient is φ = 25546752.

The previous prime is 126038639. The next prime is 126038641. The reversal of 126038640 is 46830621.

It is an interprime number because it is at equal distance from previous prime (126038639) and next prime (126038641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126038598 and 126038607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126038641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633261 + ... + 633459.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^126038640 is an apocalyptic number.

126038640 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 126038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

126038640 is an abundant number, since it is smaller than the sum of its proper divisors (373929360).

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

126038640 is a wasteful number, since it uses less digits than its factorization.

126038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 126038640 is about 11226.6931907842. The cubic root of 126038640 is about 501.3810353043.

The spelling of 126038640 in words is "one hundred twenty-six million, thirty-eight thousand, six hundred forty".