127349040 has 400 divisors, whose sum is σ = 525153888. Its totient is φ = 25288704.

The previous prime is 127349017. The next prime is 127349041. The reversal of 127349040 is 40943721.

It is a happy number.

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 = 127348989 and 127349007.

It is not an unprimeable number, because it can be changed into a prime (127349041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7491112 + ... + 7491128.

Almost surely, 2^127349040 is an apocalyptic number.

127349040 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 127349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262576944).

127349040 is an abundant number, since it is smaller than the sum of its proper divisors (397804848).

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

127349040 is a wasteful number, since it uses less digits than its factorization.

127349040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 127349040 is about 11284.9031896601. The cubic root of 127349040 is about 503.1126361171.

The spelling of 127349040 in words is "one hundred twenty-seven million, three hundred forty-nine thousand, forty".