270677940 has 192 divisors, whose sum is σ = 855864576. Its totient is φ = 63479808.

The previous prime is 270677921. The next prime is 270677951. The reversal of 270677940 is 49776072.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 270677892 and 270677901.

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, 2395324 + ... + 2395436.

It is an arithmetic number, because the mean of its divisors is an integer number (4457628).

Almost surely, 2^270677940 is an apocalyptic number.

270677940 is a gapful number since it is divisible by the number (20) 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 270677940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427932288).

270677940 is an abundant number, since it is smaller than the sum of its proper divisors (585186636).

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

270677940 is a wasteful number, since it uses less digits than its factorization.

270677940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 270677940 is about 16452.2928493265. The cubic root of 270677940 is about 646.8709094936.

The spelling of 270677940 in words is "two hundred seventy million, six hundred seventy-seven thousand, nine hundred forty".