126960480 has 96 divisors (see below), whose sum is σ = 444376800. Its totient is φ = 33854976.

The previous prime is 126960479. The next prime is 126960481. The reversal of 126960480 is 84069621.

It is an interprime number because it is at equal distance from previous prime (126960479) and next prime (126960481).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126960480² = 32237926963660800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126960481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10375 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (4628925).

Almost surely, 2^126960480 is an apocalyptic number.

126960480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126960480 is an abundant number, since it is smaller than the sum of its proper divisors (317416320).

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

126960480 is a wasteful number, since it uses less digits than its factorization.

126960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29413 (or 29399 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126960480 is about 11267.6741166933. The cubic root of 126960480 is about 502.6004254620.

The spelling of 126960480 in words is "one hundred twenty-six million, nine hundred sixty thousand, four hundred eighty".