61246080 has 384 divisors, whose sum is σ = 254592000. Its totient is φ = 13547520.

The previous prime is 61246039. The next prime is 61246099. The reversal of 61246080 is 8064216.

61246080 is a `hidden beast` number, since 612 + 46 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975665 + ... + 1975695.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^61246080 is an apocalyptic number.

61246080 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 61246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127296000).

61246080 is an abundant number, since it is smaller than the sum of its proper divisors (193345920).

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

61246080 is a wasteful number, since it uses less digits than its factorization.

61246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61246080 is about 7825.9874776286. The cubic root of 61246080 is about 394.1783486583.

The spelling of 61246080 in words is "sixty-one million, two hundred forty-six thousand, eighty".