127416540 has 48 divisors (see below), whose sum is σ = 359942688. Its totient is φ = 33675264.

The previous prime is 127416521. The next prime is 127416559. The reversal of 127416540 is 45614721.

It is an interprime number because it is at equal distance from previous prime (127416521) and next prime (127416559).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 127416498 and 127416507.

It is a congruent number.

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, 2617 + ... + 16176.

It is an arithmetic number, because the mean of its divisors is an integer number (7498806).

Almost surely, 2^127416540 is an apocalyptic number.

127416540 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 127416540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179971344).

127416540 is an abundant number, since it is smaller than the sum of its proper divisors (232526148).

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

127416540 is a wasteful number, since it uses less digits than its factorization.

127416540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18918 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 127416540 is about 11287.8935147352. The cubic root of 127416540 is about 503.2015102451.

The spelling of 127416540 in words is "one hundred twenty-seven million, four hundred sixteen thousand, five hundred forty".