6116544 has 168 divisors, whose sum is σ = 21079968. Its totient is φ = 1658880.

The previous prime is 6116491. The next prime is 6116567. The reversal of 6116544 is 4456116.

6116544 is a `hidden beast` number, since 6 + 1 + 1 + 654 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6116544² = 74824221007872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2880) is a multiple of the sum of its prime divisors (90).

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, 149164 + ... + 149204.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 2^6116544 is an apocalyptic number.

6116544 is a gapful number since it is divisible by the number (64) 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 6116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539984).

6116544 is an abundant number, since it is smaller than the sum of its proper divisors (14963424).

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

6116544 is a wasteful number, since it uses less digits than its factorization.

6116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 6116544 is about 2473.1647741305. The cubic root of 6116544 is about 182.8810478420.

The spelling of 6116544 in words is "six million, one hundred sixteen thousand, five hundred forty-four".