127393920 has 192 divisors, whose sum is σ = 466142040. Its totient is φ = 31948800.

The previous prime is 127393919. The next prime is 127393933. The reversal of 127393920 is 29393721.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 51494976 = 8712^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 97270 + ... + 98570.

Almost surely, 2^127393920 is an apocalyptic number.

127393920 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 127393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233071020).

127393920 is an abundant number, since it is smaller than the sum of its proper divisors (338748120).

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

127393920 is a wasteful number, since it uses less digits than its factorization.

127393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 127393920 is about 11286.8915118380. The cubic root of 127393920 is about 503.1717310348.

The spelling of 127393920 in words is "one hundred twenty-seven million, three hundred ninety-three thousand, nine hundred twenty".