127676640 has 384 divisors, whose sum is σ = 514805760. Its totient is φ = 25878528.

The previous prime is 127676623. The next prime is 127676651. The reversal of 127676640 is 46676721.

127676640 = T₅ + T₆ + ... + T₉₁₄.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616121 + ... + 1616199.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^127676640 is an apocalyptic number.

127676640 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 127676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

127676640 is an abundant number, since it is smaller than the sum of its proper divisors (387129120).

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

127676640 is a wasteful number, since it uses less digits than its factorization.

127676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 127676640 is about 11299.4088340939. The cubic root of 127676640 is about 503.5436786824.

The spelling of 127676640 in words is "one hundred twenty-seven million, six hundred seventy-six thousand, six hundred forty".