127633240 has 48 divisors (see below), whose sum is σ = 334065600. Its totient is φ = 43759296.

The previous prime is 127633217. The next prime is 127633243. The reversal of 127633240 is 42336721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 127633199 and 127633208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127633243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30600 + ... + 34519.

It is an arithmetic number, because the mean of its divisors is an integer number (6959700).

Almost surely, 2^127633240 is an apocalyptic number.

127633240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127633240 is an abundant number, since it is smaller than the sum of its proper divisors (206432360).

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

127633240 is a wasteful number, since it uses less digits than its factorization.

127633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65144 (or 65133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 127633240 is about 11297.4882164134. The cubic root of 127633240 is about 503.4866171549.

Adding to 127633240 its reverse (42336721), we get a palindrome (169969961).

The spelling of 127633240 in words is "one hundred twenty-seven million, six hundred thirty-three thousand, two hundred forty".