127640590 has 128 divisors (see below), whose sum is σ = 311040000. Its totient is φ = 37255680.

The previous prime is 127640581. The next prime is 127640599. The reversal of 127640590 is 95046721.

It is an interprime number because it is at equal distance from previous prime (127640581) and next prime (127640599).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127640599) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641311 + ... + 641509.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2^127640590 is an apocalyptic number.

127640590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127640590 is an abundant number, since it is smaller than the sum of its proper divisors (183399410).

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

127640590 is a wasteful number, since it uses less digits than its factorization.

127640590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 127640590 is about 11297.8135052761. The cubic root of 127640590 is about 503.4962817104.

The spelling of 127640590 in words is "one hundred twenty-seven million, six hundred forty thousand, five hundred ninety".