126179920 has 80 divisors (see below), whose sum is σ = 306980352. Its totient is φ = 48176640.

The previous prime is 126179887. The next prime is 126179927. The reversal of 126179920 is 29971621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126179920² = 31842744422412800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126179920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126179927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205534 + ... + 206146.

Almost surely, 2^126179920 is an apocalyptic number.

126179920 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 126179920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153490176).

126179920 is an abundant number, since it is smaller than the sum of its proper divisors (180800432).

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

126179920 is a wasteful number, since it uses less digits than its factorization.

126179920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 126179920 is about 11232.9835751683. The cubic root of 126179920 is about 501.5683023788.

The spelling of 126179920 in words is "one hundred twenty-six million, one hundred seventy-nine thousand, nine hundred twenty".