61356624 has 120 divisors (see below), whose sum is σ = 194228640. Its totient is φ = 16595712.

The previous prime is 61356613. The next prime is 61356629. The reversal of 61356624 is 42665316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61356629) 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 23 ways as a sum of consecutive naturals, for example, 44002 + ... + 45374.

It is an arithmetic number, because the mean of its divisors is an integer number (1618572).

Almost surely, 2^61356624 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 61356624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97114320).

61356624 is an abundant number, since it is smaller than the sum of its proper divisors (132872016).

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

61356624 is a wasteful number, since it uses less digits than its factorization.

61356624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1404 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 61356624 is about 7833.0469167496. The cubic root of 61356624 is about 394.4153589933.

The spelling of 61356624 in words is "sixty-one million, three hundred fifty-six thousand, six hundred twenty-four".