27974100 has 216 divisors, whose sum is σ = 103305888. Its totient is φ = 5779200.

The previous prime is 27974069. The next prime is 27974101. The reversal of 27974100 is 147972.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27974101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161614 + ... + 161786.

It is an arithmetic number, because the mean of its divisors is an integer number (478268).

Almost surely, 2^27974100 is an apocalyptic number.

27974100 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 27974100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51652944).

27974100 is an abundant number, since it is smaller than the sum of its proper divisors (75331788).

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

27974100 is a wasteful number, since it uses less digits than its factorization.

27974100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 27974100 is about 5289.0547359618. The cubic root of 27974100 is about 303.5652401441.

The spelling of 27974100 in words is "twenty-seven million, nine hundred seventy-four thousand, one hundred".