6125400 has 144 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 1574400.

The previous prime is 6125381. The next prime is 6125417. The reversal of 6125400 is 45216.

It is a happy number.

6125400 is a `hidden beast` number, since 612 + 54 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 73759 + ... + 73841.

Almost surely, 2^6125400 is an apocalyptic number.

6125400 is a gapful number since it is divisible by the number (60) 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 6125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

6125400 is an abundant number, since it is smaller than the sum of its proper divisors (15201360).

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

6125400 is a wasteful number, since it uses less digits than its factorization.

6125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6125400 is about 2474.9545450371. The cubic root of 6125400 is about 182.9692683322.

The spelling of 6125400 in words is "six million, one hundred twenty-five thousand, four hundred".