61345504 has 48 divisors (see below), whose sum is σ = 133960176. Its totient is φ = 27417600.

The previous prime is 61345489. The next prime is 61345511. The reversal of 61345504 is 40554316.

It is a super-2 number, since 2×61345504² = 7526541722028032, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20044 + ... + 22900.

It is an arithmetic number, because the mean of its divisors is an integer number (2790837).

Almost surely, 2^61345504 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 61345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66980088).

61345504 is an abundant number, since it is smaller than the sum of its proper divisors (72614672).

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

61345504 is a wasteful number, since it uses less digits than its factorization.

61345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 61345504 is about 7832.3370713983. The cubic root of 61345504 is about 394.3915301954.

The spelling of 61345504 in words is "sixty-one million, three hundred forty-five thousand, five hundred four".