61488 has 60 divisors (see below), whose sum is σ = 199888. Its totient is φ = 17280.

The previous prime is 61487. The next prime is 61493. The reversal of 61488 is 88416.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (61483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978 + ... + 1038.

2⁶¹⁴⁸⁸ 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 61488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99944).

61488 is an abundant number, since it is smaller than the sum of its proper divisors (138400).

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

61488 is a wasteful number, since it uses less digits than its factorization.

61488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 61488 is about 247.9677398373. The cubic root of 61488 is about 39.4696663981.

The spelling of 61488 in words is "sixty-one thousand, four hundred eighty-eight".