27961050 has 72 divisors (see below), whose sum is σ = 75155904. Its totient is φ = 6876480.

The previous prime is 27961049. The next prime is 27961067. The reversal of 27961050 is 5016972.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27960999 and 27961017.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24799 + ... + 25901.

It is an arithmetic number, because the mean of its divisors is an integer number (1043832).

Almost surely, 2^27961050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27961050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37577952).

27961050 is an abundant number, since it is smaller than the sum of its proper divisors (47194854).

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

27961050 is a wasteful number, since it uses less digits than its factorization.

27961050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 27961050 is about 5287.8209122473. The cubic root of 27961050 is about 303.5180281091.

The spelling of 27961050 in words is "twenty-seven million, nine hundred sixty-one thousand, fifty".