6120400 has 120 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 2035200.

The previous prime is 6120379. The next prime is 6120427. The reversal of 6120400 is 40216.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57147 + ... + 57253.

Almost surely, 2^6120400 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 6120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

6120400 is an abundant number, since it is smaller than the sum of its proper divisors (11315984).

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

6120400 is a wasteful number, since it uses less digits than its factorization.

6120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 6120400 is about 2473.9442192580. The cubic root of 6120400 is about 182.9194704754.

Adding to 6120400 its reverse (40216), we get a palindrome (6160616).

The spelling of 6120400 in words is "six million, one hundred twenty thousand, four hundred".