6121600 has 48 divisors (see below), whose sum is σ = 15130170. Its totient is φ = 2447360.

The previous prime is 6121579. The next prime is 6121607. The reversal of 6121600 is 61216.

It can be written as a sum of positive squares in 3 ways, for example, as 5494336 + 627264 = 2344^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (6121607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2244 + ... + 4156.

Almost surely, 2^6121600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565085).

6121600 is an abundant number, since it is smaller than the sum of its proper divisors (9008570).

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

6121600 is a wasteful number, since it uses less digits than its factorization.

6121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 6121600 is about 2474.1867350707. The cubic root of 6121600 is about 182.9314244338.

Adding to 6121600 its reverse (61216), we get a palindrome (6182816).

Multiplying 6121600 by its reverse (61216), we get a square (374739865600 = 612160²).

6121600 divided by its reverse (61216) gives a square (100 = 10²).

The spelling of 6121600 in words is "six million, one hundred twenty-one thousand, six hundred".