5461164 has 36 divisors (see below), whose sum is σ = 14283360. Its totient is φ = 1757280.

The previous prime is 5461153. The next prime is 5461213. The reversal of 5461164 is 4611645.

5461164 is a `hidden beast` number, since 546 + 116 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572 + ... + 3659.

It is an arithmetic number, because the mean of its divisors is an integer number (396760).

Almost surely, 2^5461164 is an apocalyptic number.

It is an amenable number.

5461164 is an abundant number, since it is smaller than the sum of its proper divisors (8822196).

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

5461164 is a wasteful number, since it uses less digits than its factorization.

5461164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5265 counting only the distinct ones).

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

The square root of 5461164 is about 2336.9133488429. The cubic root of 5461164 is about 176.1009665162.

It can be divided in two parts, 5461 and 164, that added together give a square (5625 = 75²).

The spelling of 5461164 in words is "five million, four hundred sixty-one thousand, one hundred sixty-four".