127345890 has 64 divisors (see below), whose sum is σ = 350219520. Its totient is φ = 29030400.

The previous prime is 127345879. The next prime is 127345903. The reversal of 127345890 is 98543721.

It is a super-3 number, since 3×127345890³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125706 + ... + 126714.

It is an arithmetic number, because the mean of its divisors is an integer number (5472180).

Almost surely, 2^127345890 is an apocalyptic number.

127345890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127345890 is an abundant number, since it is smaller than the sum of its proper divisors (222873630).

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

127345890 is a wasteful number, since it uses less digits than its factorization.

127345890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 127345890 is about 11284.7636218044. The cubic root of 127345890 is about 503.1084878909.

The spelling of 127345890 in words is "one hundred twenty-seven million, three hundred forty-five thousand, eight hundred ninety".