6461136 has 60 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1957440.

The previous prime is 6461131. The next prime is 6461141. The reversal of 6461136 is 6311646.

6461136 is a `hidden beast` number, since 646 + 1 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6461131) and next prime (6461141).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456 + ... + 3623.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 2^6461136 is an apocalyptic number.

6461136 is a gapful number since it is divisible by the number (66) 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 6461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

6461136 is an abundant number, since it is smaller than the sum of its proper divisors (13269744).

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

6461136 is a wasteful number, since it uses less digits than its factorization.

6461136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4095 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 6461136 is about 2541.8764722150. The cubic root of 6461136 is about 186.2528645416.

The spelling of 6461136 in words is "six million, four hundred sixty-one thousand, one hundred thirty-six".