127074920 has 64 divisors (see below), whose sum is σ = 332968320. Its totient is φ = 42741504.

The previous prime is 127074889. The next prime is 127074971. The reversal of 127074920 is 29470721.

It is a super-2 number, since 2×127074920² = 32296070586012800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10559 + ... + 19121.

It is an arithmetic number, because the mean of its divisors is an integer number (5202630).

Almost surely, 2^127074920 is an apocalyptic number.

127074920 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 127074920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166484160).

127074920 is an abundant number, since it is smaller than the sum of its proper divisors (205893400).

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

127074920 is a wasteful number, since it uses less digits than its factorization.

127074920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 127074920 is about 11272.7512169834. The cubic root of 127074920 is about 502.7513919138.

The spelling of 127074920 in words is "one hundred twenty-seven million, seventy-four thousand, nine hundred twenty".