126215440 has 80 divisors (see below), whose sum is σ = 318448368. Its totient is φ = 46245888.

The previous prime is 126215407. The next prime is 126215459. The reversal of 126215440 is 44512621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44782864 + 81432576 = 6692^2 + 9024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162894 + ... + 163666.

Almost surely, 2^126215440 is an apocalyptic number.

126215440 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 126215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159224184).

126215440 is an abundant number, since it is smaller than the sum of its proper divisors (192232928).

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

126215440 is a wasteful number, since it uses less digits than its factorization.

126215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 126215440 is about 11234.5645220453. The cubic root of 126215440 is about 501.6153622561.

The spelling of 126215440 in words is "one hundred twenty-six million, two hundred fifteen thousand, four hundred forty".