126996480 has 312 divisors, whose sum is σ = 483006888. Its totient is φ = 30670848.

The previous prime is 126996461. The next prime is 126996517. The reversal of 126996480 is 84699621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 119771136 = 2688^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×126996480² = 32256211864780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396134 + ... + 2396186.

It is an arithmetic number, because the mean of its divisors is an integer number (1548099).

Almost surely, 2^126996480 is an apocalyptic number.

126996480 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 126996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241503444).

126996480 is an abundant number, since it is smaller than the sum of its proper divisors (356010408).

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

126996480 is a wasteful number, since it uses less digits than its factorization.

126996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 126996480 is about 11269.2714937568. The cubic root of 126996480 is about 502.6479255592.

The spelling of 126996480 in words is "one hundred twenty-six million, nine hundred ninety-six thousand, four hundred eighty".