126858240 has 132 divisors (see below), whose sum is σ = 439720164. Its totient is φ = 33816576.

The previous prime is 126858227. The next prime is 126858283. The reversal of 126858240 is 42858621.

126858240 is a `hidden beast` number, since 12 + 68 + 582 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 40144896 = 9312^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126858195 and 126858204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44704 + ... + 47456.

Almost surely, 2^126858240 is an apocalyptic number.

126858240 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 126858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219860082).

126858240 is an abundant number, since it is smaller than the sum of its proper divisors (312861924).

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

126858240 is a wasteful number, since it uses less digits than its factorization.

126858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 126858240 is about 11263.1363305253. The cubic root of 126858240 is about 502.4654762054.

The spelling of 126858240 in words is "one hundred twenty-six million, eight hundred fifty-eight thousand, two hundred forty".