61998048 has 288 divisors, whose sum is σ = 224550144. Its totient is φ = 16422912.

The previous prime is 61998037. The next prime is 61998049. The reversal of 61998048 is 84089916.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 61997994 and 61998012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61998049) 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 47 ways as a sum of consecutive naturals, for example, 925311 + ... + 925377.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^61998048 is an apocalyptic number.

61998048 is a gapful number since it is divisible by the number (68) 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 61998048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

61998048 is an abundant number, since it is smaller than the sum of its proper divisors (162552096).

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

61998048 is a wasteful number, since it uses less digits than its factorization.

61998048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 61998048 is about 7873.8839209122. The cubic root of 61998048 is about 395.7850072662.

The spelling of 61998048 in words is "sixty-one million, nine hundred ninety-eight thousand, forty-eight".