27961362 has 160 divisors (see below), whose sum is σ = 79035264. Its totient is φ = 7257600.

The previous prime is 27961361. The next prime is 27961387. The reversal of 27961362 is 26316972.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (27216) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (27961361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393787 + ... + 393857.

Almost surely, 2^27961362 is an apocalyptic number.

27961362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27961362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39517632).

27961362 is an abundant number, since it is smaller than the sum of its proper divisors (51073902).

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

27961362 is a wasteful number, since it uses less digits than its factorization.

27961362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 27961362 is about 5287.8504139206. The cubic root of 27961362 is about 303.5191570280.

The spelling of 27961362 in words is "twenty-seven million, nine hundred sixty-one thousand, three hundred sixty-two".