272600640 has 280 divisors, whose sum is σ = 1045570680. Its totient is φ = 67018752.

The previous prime is 272600621. The next prime is 272600683. The reversal of 272600640 is 46006272.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 241864704 = 5544^2 + 15552^2 .

It is a super-2 number, since 2×272600640² = 148622217856819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336556 + ... + 337364.

It is an arithmetic number, because the mean of its divisors is an integer number (3734181).

Almost surely, 2^272600640 is an apocalyptic number.

272600640 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 272600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522785340).

272600640 is an abundant number, since it is smaller than the sum of its proper divisors (772970040).

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

272600640 is a wasteful number, since it uses less digits than its factorization.

272600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 272600640 is about 16510.6220355261. The cubic root of 272600640 is about 648.3989313084.

The spelling of 272600640 in words is "two hundred seventy-two million, six hundred thousand, six hundred forty".