61789504 has 56 divisors (see below), whose sum is σ = 141549120. Its totient is φ = 26213376.

The previous prime is 61789493. The next prime is 61789549. The reversal of 61789504 is 40598716.

61789504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47292 + ... + 48580.

Almost surely, 2^61789504 is an apocalyptic number.

61789504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70774560).

61789504 is an abundant number, since it is smaller than the sum of its proper divisors (79759616).

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

61789504 is a wasteful number, since it uses less digits than its factorization.

61789504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 61789504 is about 7860.6300001972. The cubic root of 61789504 is about 395.3407389379.

The spelling of 61789504 in words is "sixty-one million, seven hundred eighty-nine thousand, five hundred four".