126942480 has 240 divisors, whose sum is σ = 494432640. Its totient is φ = 28588032.

The previous prime is 126942479. The next prime is 126942481. The reversal of 126942480 is 84249621.

It is an interprime number because it is at equal distance from previous prime (126942479) and next prime (126942481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126942480² = 32228786457100800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126942481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448419 + ... + 448701.

It is an arithmetic number, because the mean of its divisors is an integer number (2060136).

Almost surely, 2^126942480 is an apocalyptic number.

126942480 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 126942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247216320).

126942480 is an abundant number, since it is smaller than the sum of its proper divisors (367490160).

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

126942480 is a wasteful number, since it uses less digits than its factorization.

126942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126942480 is about 11266.8753432351. The cubic root of 126942480 is about 502.5766720461.

The spelling of 126942480 in words is "one hundred twenty-six million, nine hundred forty-two thousand, four hundred eighty".