126817440 has 96 divisors (see below), whose sum is σ = 401054976. Its totient is φ = 33684480.

The previous prime is 126817429. The next prime is 126817441. The reversal of 126817440 is 44718621.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (126817441) 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, 206574 + ... + 207186.

It is an arithmetic number, because the mean of its divisors is an integer number (4177656).

Almost surely, 2^126817440 is an apocalyptic number.

126817440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126817440 is the 9195-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126817440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200527488).

126817440 is an abundant number, since it is smaller than the sum of its proper divisors (274237536).

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

126817440 is a wasteful number, since it uses less digits than its factorization.

126817440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 126817440 is about 11261.3249664504. The cubic root of 126817440 is about 502.4116029749.

The spelling of 126817440 in words is "one hundred twenty-six million, eight hundred seventeen thousand, four hundred forty".