61214592 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 18765824.

The previous prime is 61214591. The next prime is 61214609. The reversal of 61214592 is 29541216.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61214591) 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 15 ways as a sum of consecutive naturals, for example, 256009 + ... + 256247.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^61214592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61214592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

61214592 is an abundant number, since it is smaller than the sum of its proper divisors (115041408).

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

61214592 is a wasteful number, since it uses less digits than its factorization.

61214592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 61214592 is about 7823.9754600842. The cubic root of 61214592 is about 394.1107850661.

The spelling of 61214592 in words is "sixty-one million, two hundred fourteen thousand, five hundred ninety-two".