27902640 has 160 divisors (see below), whose sum is σ = 94636800. Its totient is φ = 6773760.

The previous prime is 27902603. The next prime is 27902671. The reversal of 27902640 is 4620972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27902598 and 27902607.

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, 132135 + ... + 132345.

It is an arithmetic number, because the mean of its divisors is an integer number (591480).

Almost surely, 2^27902640 is an apocalyptic number.

27902640 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 27902640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47318400).

27902640 is an abundant number, since it is smaller than the sum of its proper divisors (66734160).

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

27902640 is a wasteful number, since it uses less digits than its factorization.

27902640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27902640 is about 5282.2949557934. The cubic root of 27902640 is about 303.3065333432.

The spelling of 27902640 in words is "twenty-seven million, nine hundred two thousand, six hundred forty".