61214304 has 48 divisors (see below), whose sum is σ = 164118528. Its totient is φ = 19969152.

The previous prime is 61214303. The next prime is 61214323. The reversal of 61214304 is 40341216.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61214303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2272 + ... + 11295.

It is an arithmetic number, because the mean of its divisors is an integer number (3419136).

Almost surely, 2^61214304 is an apocalyptic number.

It is an amenable number.

61214304 is an abundant number, since it is smaller than the sum of its proper divisors (102904224).

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

61214304 is a wasteful number, since it uses less digits than its factorization.

61214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13627 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61214304 is about 7823.9570550969. The cubic root of 61214304 is about 394.1101669995.

The spelling of 61214304 in words is "sixty-one million, two hundred fourteen thousand, three hundred four".