127420992 has 112 divisors (see below), whose sum is σ = 394411200. Its totient is φ = 40227840.

The previous prime is 127420987. The next prime is 127421017. The reversal of 127420992 is 299024721.

It is a super-4 number, since 4×127420992⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30892 + ... + 34772.

Almost surely, 2^127420992 is an apocalyptic number.

127420992 is a gapful number since it is divisible by the number (12) 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 127420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197205600).

127420992 is an abundant number, since it is smaller than the sum of its proper divisors (266990208).

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

127420992 is a wasteful number, since it uses less digits than its factorization.

127420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127420992 is about 11288.0907154399. The cubic root of 127420992 is about 503.2073708841.

The spelling of 127420992 in words is "one hundred twenty-seven million, four hundred twenty thousand, nine hundred ninety-two".