126498960 has 240 divisors, whose sum is σ = 511455360. Its totient is φ = 27371520.

The previous prime is 126498959. The next prime is 126498997. The reversal of 126498960 is 69894621.

It is a happy number.

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

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95100 + ... + 96420.

It is an arithmetic number, because the mean of its divisors is an integer number (2131064).

Almost surely, 2^126498960 is an apocalyptic number.

126498960 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 126498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255727680).

126498960 is an abundant number, since it is smaller than the sum of its proper divisors (384956400).

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

126498960 is a wasteful number, since it uses less digits than its factorization.

126498960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

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

The square root of 126498960 is about 11247.1756454676. The cubic root of 126498960 is about 501.9906772235.

It can be divided in two parts, 12649 and 8960, that added together give a square (21609 = 147²).

The spelling of 126498960 in words is "one hundred twenty-six million, four hundred ninety-eight thousand, nine hundred sixty".