126008380 has 48 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 47504448.

The previous prime is 126008327. The next prime is 126008387. The reversal of 126008380 is 83800621.

126008380 = T₁₉ + T₂₀ + ... + T₉₁₀.

It is a super-2 number, since 2×126008380² = 31756223660448800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126008387) 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, 83997 + ... + 85483.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2^126008380 is an apocalyptic number.

126008380 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 126008380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

126008380 is an abundant number, since it is smaller than the sum of its proper divisors (153973700).

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

126008380 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 126008380 = (283086001)₉.

126008380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 126008380 is about 11225.3454289835. The cubic root of 126008380 is about 501.3409073868.

The spelling of 126008380 in words is "one hundred twenty-six million, eight thousand, three hundred eighty".