27351640 has 128 divisors (see below), whose sum is σ = 71928000. Its totient is φ = 9289728.

The previous prime is 27351601. The next prime is 27351679. The reversal of 27351640 is 4615372.

It is an interprime number because it is at equal distance from previous prime (27351601) and next prime (27351679).

It is a super-2 number, since 2×27351640² = 1496224421379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27351599 and 27351608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374644 + ... + 374716.

Almost surely, 2^27351640 is an apocalyptic number.

27351640 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 27351640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35964000).

27351640 is an abundant number, since it is smaller than the sum of its proper divisors (44576360).

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

27351640 is a wasteful number, since it uses less digits than its factorization.

27351640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 27351640 is about 5229.8795397217. The cubic root of 27351640 is about 301.2967570314.

The spelling of 27351640 in words is "twenty-seven million, three hundred fifty-one thousand, six hundred forty".