126829920 has 96 divisors (see below), whose sum is σ = 456599808. Its totient is φ = 28988928.

The previous prime is 126829907. The next prime is 126829931. The reversal of 126829920 is 29928621.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15514 + ... + 22233.

It is an arithmetic number, because the mean of its divisors is an integer number (4756248).

Almost surely, 2^126829920 is an apocalyptic number.

126829920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126829920 is an abundant number, since it is smaller than the sum of its proper divisors (329769888).

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

126829920 is a wasteful number, since it uses less digits than its factorization.

126829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37772 (or 37764 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 126829920 is about 11261.8790616842. The cubic root of 126829920 is about 502.4280830719.

The spelling of 126829920 in words is "one hundred twenty-six million, eight hundred twenty-nine thousand, nine hundred twenty".