27700920 has 128 divisors (see below), whose sum is σ = 99489600. Its totient is φ = 6815232.

The previous prime is 27700919. The next prime is 27700931. The reversal of 27700920 is 2900772.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13054 + ... + 15026.

Almost surely, 2^27700920 is an apocalyptic number.

27700920 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 27700920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49744800).

27700920 is an abundant number, since it is smaller than the sum of its proper divisors (71788680).

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

27700920 is a wasteful number, since it uses less digits than its factorization.

27700920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 27700920 is about 5263.1663473616. The cubic root of 27700920 is about 302.5738544258.

The spelling of 27700920 in words is "twenty-seven million, seven hundred thousand, nine hundred twenty".