61304880 has 240 divisors, whose sum is σ = 238672224. Its totient is φ = 12902400.

The previous prime is 61304861. The next prime is 61304921. The reversal of 61304880 is 8840316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 152680 + ... + 153080.

Almost surely, 2^61304880 is an apocalyptic number.

61304880 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 61304880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119336112).

61304880 is an abundant number, since it is smaller than the sum of its proper divisors (177367344).

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

61304880 is a wasteful number, since it uses less digits than its factorization.

61304880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61304880 is about 7829.7432908110. The cubic root of 61304880 is about 394.3044534557.

The spelling of 61304880 in words is "sixty-one million, three hundred four thousand, eight hundred eighty".