6161400 has 192 divisors, whose sum is σ = 24403200. Its totient is φ = 1399680.

The previous prime is 6161383. The next prime is 6161413. The reversal of 6161400 is 41616.

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 47 ways as a sum of consecutive naturals, for example, 37719 + ... + 37881.

It is an arithmetic number, because the mean of its divisors is an integer number (127100).

Almost surely, 2^6161400 is an apocalyptic number.

6161400 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 6161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201600).

6161400 is an abundant number, since it is smaller than the sum of its proper divisors (18241800).

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

6161400 is a wasteful number, since it uses less digits than its factorization.

6161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6161400 is about 2482.2167512125. The cubic root of 6161400 is about 183.3270153929.

It can be divided in two parts, 6161 and 400, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6161400 in words is "six million, one hundred sixty-one thousand, four hundred".