27872680 has 32 divisors (see below), whose sum is σ = 68415840. Its totient is φ = 10135360.

The previous prime is 27872657. The next prime is 27872687. The reversal of 27872680 is 8627872.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27872687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31234 + ... + 32113.

It is an arithmetic number, because the mean of its divisors is an integer number (2137995).

Almost surely, 2^27872680 is an apocalyptic number.

27872680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27872680 is an abundant number, since it is smaller than the sum of its proper divisors (40543160).

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

27872680 is a wasteful number, since it uses less digits than its factorization.

27872680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63369 (or 63365 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 27872680 is about 5279.4583055461. The cubic root of 27872680 is about 303.1979376686.

The spelling of 27872680 in words is "twenty-seven million, eight hundred seventy-two thousand, six hundred eighty".