127020400 has 90 divisors (see below), whose sum is σ = 330622440. Its totient is φ = 46874880.

The previous prime is 127020373. The next prime is 127020401. The reversal of 127020400 is 4020721.

It is a super-2 number, since 2×127020400² = 32268364032320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127020401) 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 17 ways as a sum of consecutive naturals, for example, 66661 + ... + 68539.

Almost surely, 2^127020400 is an apocalyptic number.

127020400 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 127020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165311220).

127020400 is an abundant number, since it is smaller than the sum of its proper divisors (203602040).

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

127020400 is a wasteful number, since it uses less digits than its factorization.

127020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 127020400 is about 11270.3327368805. The cubic root of 127020400 is about 502.6794817713.

The spelling of 127020400 in words is "one hundred twenty-seven million, twenty thousand, four hundred".