126573408 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 38085120.

The previous prime is 126573401. The next prime is 126573409. The reversal of 126573408 is 804375621.

It is a super-2 number, since 2×126573408² = 32041655225468928, 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 (126573401) 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, 662593 + ... + 662783.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^126573408 is an apocalyptic number.

126573408 is a gapful number since it is divisible by the number (18) 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 126573408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

126573408 is an abundant number, since it is smaller than the sum of its proper divisors (279852192).

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

126573408 is a wasteful number, since it uses less digits than its factorization.

126573408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 126573408 is about 11250.4847895546. The cubic root of 126573408 is about 502.0891361959.

The spelling of 126573408 in words is "one hundred twenty-six million, five hundred seventy-three thousand, four hundred eight".