27429840 has 240 divisors, whose sum is σ = 102368448. Its totient is φ = 6801408.

The previous prime is 27429821. The next prime is 27429847. The reversal of 27429840 is 4892472.

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

It is a super-2 number, since 2×27429840² = 1504792244851200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27429795 and 27429804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27429847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 330439 + ... + 330521.

Almost surely, 2^27429840 is an apocalyptic number.

27429840 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 27429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

27429840 is an abundant number, since it is smaller than the sum of its proper divisors (74938608).

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

27429840 is a wasteful number, since it uses less digits than its factorization.

27429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27429840 is about 5237.3504751926. The cubic root of 27429840 is about 301.5836257225.

The spelling of 27429840 in words is "twenty-seven million, four hundred twenty-nine thousand, eight hundred forty".