127433020 has 96 divisors (see below), whose sum is σ = 333014976. Its totient is φ = 40243200.

The previous prime is 127433017. The next prime is 127433021. The reversal of 127433020 is 20334721.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 127432982 and 127433000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127433021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47310 + ... + 49930.

It is an arithmetic number, because the mean of its divisors is an integer number (3468906).

Almost surely, 2^127433020 is an apocalyptic number.

127433020 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 127433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166507488).

127433020 is an abundant number, since it is smaller than the sum of its proper divisors (205581956).

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

127433020 is a wasteful number, since it uses less digits than its factorization.

127433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 127433020 is about 11288.6234767575. The cubic root of 127433020 is about 503.2232039315.

Adding to 127433020 its reverse (20334721), we get a palindrome (147767741).

The spelling of 127433020 in words is "one hundred twenty-seven million, four hundred thirty-three thousand, twenty".