27961920 has 336 divisors, whose sum is σ = 117287040. Its totient is φ = 5971968.

The previous prime is 27961909. The next prime is 27961933. The reversal of 27961920 is 2916972.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383004 + ... + 383076.

Almost surely, 2^27961920 is an apocalyptic number.

27961920 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 27961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58643520).

27961920 is an abundant number, since it is smaller than the sum of its proper divisors (89325120).

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

27961920 is a wasteful number, since it uses less digits than its factorization.

27961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 27961920 is about 5287.9031761181. The cubic root of 27961920 is about 303.5211760350.

The spelling of 27961920 in words is "twenty-seven million, nine hundred sixty-one thousand, nine hundred twenty".