61248000 has 320 divisors, whose sum is σ = 229806720. Its totient is φ = 14336000.

The previous prime is 61247947. The next prime is 61248017. The reversal of 61248000 is 84216.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111986 + ... + 2112014.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^61248000 is an apocalyptic number.

61248000 is a gapful number since it is divisible by the number (60) 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 61248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

61248000 is an abundant number, since it is smaller than the sum of its proper divisors (168558720).

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

61248000 is a wasteful number, since it uses less digits than its factorization.

61248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61248000 is about 7826.1101448932. The cubic root of 61248000 is about 394.1824676404.

The spelling of 61248000 in words is "sixty-one million, two hundred forty-eight thousand".