127651920 has 80 divisors (see below), whose sum is σ = 431704512. Its totient is φ = 30945280.

The previous prime is 127651897. The next prime is 127651921. The reversal of 127651920 is 29156721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127651921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21537 + ... + 26816.

Almost surely, 2^127651920 is an apocalyptic number.

127651920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127651920 is an abundant number, since it is smaller than the sum of its proper divisors (304052592).

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

127651920 is a wasteful number, since it uses less digits than its factorization.

127651920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48380 (or 48374 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 127651920 is about 11298.3149186062. The cubic root of 127651920 is about 503.5111788631.

The spelling of 127651920 in words is "one hundred twenty-seven million, six hundred fifty-one thousand, nine hundred twenty".