126577920 has 288 divisors, whose sum is σ = 490952448. Its totient is φ = 27131904.

The previous prime is 126577883. The next prime is 126577921. The reversal of 126577920 is 29775621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126577921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456822 + ... + 457098.

It is an arithmetic number, because the mean of its divisors is an integer number (1704696).

Almost surely, 2^126577920 is an apocalyptic number.

126577920 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 126577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245476224).

126577920 is an abundant number, since it is smaller than the sum of its proper divisors (364374528).

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

126577920 is a wasteful number, since it uses less digits than its factorization.

126577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 126577920 is about 11250.6853124599. The cubic root of 126577920 is about 502.0951021654.

The spelling of 126577920 in words is "one hundred twenty-six million, five hundred seventy-seven thousand, nine hundred twenty".