126748440 has 384 divisors, whose sum is σ = 523635840. Its totient is φ = 25878528.

The previous prime is 126748439. The next prime is 126748451. The reversal of 126748440 is 44847621.

126748440 = 36² + 37² + ... + 724².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126748395 and 126748404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1736244 + ... + 1736316.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^126748440 is an apocalyptic number.

126748440 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 126748440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920).

126748440 is an abundant number, since it is smaller than the sum of its proper divisors (396887400).

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

126748440 is a wasteful number, since it uses less digits than its factorization.

126748440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 126748440 is about 11258.2609669522. The cubic root of 126748440 is about 502.3204675346.

The spelling of 126748440 in words is "one hundred twenty-six million, seven hundred forty-eight thousand, four hundred forty".