27967680 has 280 divisors, whose sum is σ = 108429552. Its totient is φ = 6801408.

The previous prime is 27967663. The next prime is 27967697. The reversal of 27967680 is 8676972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27967663) and next prime (27967697).

It is a super-2 number, since 2×27967680² = 1564382249164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 336919 + ... + 337001.

Almost surely, 2^27967680 is an apocalyptic number.

27967680 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 27967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214776).

27967680 is an abundant number, since it is smaller than the sum of its proper divisors (80461872).

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

27967680 is a wasteful number, since it uses less digits than its factorization.

27967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 27967680 is about 5288.4477873947. The cubic root of 27967680 is about 303.5420158289.

The spelling of 27967680 in words is "twenty-seven million, nine hundred sixty-seven thousand, six hundred eighty".