61801248 has 96 divisors (see below), whose sum is σ = 169150464. Its totient is φ = 19740672.

The previous prime is 61801247. The next prime is 61801283. The reversal of 61801248 is 84210816.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (61801247) 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 15 ways as a sum of consecutive naturals, for example, 451036 + ... + 451172.

It is an arithmetic number, because the mean of its divisors is an integer number (1761984).

Almost surely, 2^61801248 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 61801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84575232).

61801248 is an abundant number, since it is smaller than the sum of its proper divisors (107349216).

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

61801248 is a wasteful number, since it uses less digits than its factorization.

61801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 61801248 is about 7861.3769786215. The cubic root of 61801248 is about 395.3657841167.

The spelling of 61801248 in words is "sixty-one million, eight hundred one thousand, two hundred forty-eight".