27699120 has 240 divisors, whose sum is σ = 103064832. Its totient is φ = 6635520.

The previous prime is 27699109. The next prime is 27699127. The reversal of 27699120 is 2199672.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (27699127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379404 + ... + 379476.

Almost surely, 2^27699120 is an apocalyptic number.

27699120 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 27699120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532416).

27699120 is an abundant number, since it is smaller than the sum of its proper divisors (75365712).

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

27699120 is a wasteful number, since it uses less digits than its factorization.

27699120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

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

The square root of 27699120 is about 5262.9953448583. The cubic root of 27699120 is about 302.5673005552.

27699120 divided by its sum of digits (36) gives a triangular number (769420 = T₁₂₄₀).

The spelling of 27699120 in words is "twenty-seven million, six hundred ninety-nine thousand, one hundred twenty".