61554528 has 144 divisors (see below), whose sum is σ = 210712320. Its totient is φ = 16651008.

The previous prime is 61554497. The next prime is 61554529. The reversal of 61554528 is 82545516.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61554492 and 61554501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61554529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37501 + ... + 39107.

It is an arithmetic number, because the mean of its divisors is an integer number (1463280).

Almost surely, 2^61554528 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 61554528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105356160).

61554528 is an abundant number, since it is smaller than the sum of its proper divisors (149157792).

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

61554528 is a wasteful number, since it uses less digits than its factorization.

61554528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 61554528 is about 7845.6693787082. The cubic root of 61554528 is about 394.8389622889.

The spelling of 61554528 in words is "sixty-one million, five hundred fifty-four thousand, five hundred twenty-eight".