127055040 has 336 divisors, whose sum is σ = 488545632. Its totient is φ = 27869184.

The previous prime is 127055039. The next prime is 127055041. The reversal of 127055040 is 40550721.

It is an interprime number because it is at equal distance from previous prime (127055039) and next prime (127055041).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×127055040² = 32285966378803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 127055040.

It is not an unprimeable number, because it can be changed into a prime (127055041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740444 + ... + 1740516.

Almost surely, 2^127055040 is an apocalyptic number.

127055040 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 127055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244272816).

127055040 is an abundant number, since it is smaller than the sum of its proper divisors (361490592).

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

127055040 is a wasteful number, since it uses less digits than its factorization.

127055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 127055040 is about 11271.8694101733. The cubic root of 127055040 is about 502.7251732104.

The spelling of 127055040 in words is "one hundred twenty-seven million, fifty-five thousand, forty".