61248960 has 280 divisors, whose sum is σ = 232349040. Its totient is φ = 15261696.

The previous prime is 61248959. The next prime is 61248991. The reversal of 61248960 is 6984216.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440571 + ... + 440709.

It is an arithmetic number, because the mean of its divisors is an integer number (829818).

Almost surely, 2^61248960 is an apocalyptic number.

61248960 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 61248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116174520).

61248960 is an abundant number, since it is smaller than the sum of its proper divisors (171100080).

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

61248960 is a wasteful number, since it uses less digits than its factorization.

61248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61248960 is about 7826.1714778045. The cubic root of 61248960 is about 394.1845270992.

The spelling of 61248960 in words is "sixty-one million, two hundred forty-eight thousand, nine hundred sixty".