27223680 has 128 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 6594560.

The previous prime is 27223657. The next prime is 27223709. The reversal of 27223680 is 8632272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27223680² = 1482257505484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20476 + ... + 21764.

Almost surely, 2^27223680 is an apocalyptic number.

27223680 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 27223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

27223680 is an abundant number, since it is smaller than the sum of its proper divisors (67513920).

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

27223680 is a wasteful number, since it uses less digits than its factorization.

27223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 27223680 is about 5217.6316466382. The cubic root of 27223680 is about 300.8261671819.

The spelling of 27223680 in words is "twenty-seven million, two hundred twenty-three thousand, six hundred eighty".