61544032 has 48 divisors (see below), whose sum is σ = 136760400. Its totient is φ = 27005440.

The previous prime is 61544027. The next prime is 61544053. The reversal of 61544032 is 23044516.

It is a junction number, because it is equal to n+sod(n) for n = 61543988 and 61544006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7194 + ... + 13222.

It is an arithmetic number, because the mean of its divisors is an integer number (2849175).

Almost surely, 2^61544032 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 61544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68380200).

61544032 is an abundant number, since it is smaller than the sum of its proper divisors (75216368).

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

61544032 is a wasteful number, since it uses less digits than its factorization.

61544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 61544032 is about 7845.0004461440. Note that the first 3 decimals coincide. The cubic root of 61544032 is about 394.8165189613.

Adding to 61544032 its reverse (23044516), we get a palindrome (84588548).

The spelling of 61544032 in words is "sixty-one million, five hundred forty-four thousand, thirty-two".