61573680 has 240 divisors, whose sum is σ = 249150720. Its totient is φ = 13312512.

The previous prime is 61573679. The next prime is 61573693. The reversal of 61573680 is 8637516.

61573680 is a `hidden beast` number, since 6 + 1 + 573 + 6 + 80 = 666.

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 (36).

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, 95439 + ... + 96081.

It is an arithmetic number, because the mean of its divisors is an integer number (1038128).

Almost surely, 2^61573680 is an apocalyptic number.

61573680 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 61573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124575360).

61573680 is an abundant number, since it is smaller than the sum of its proper divisors (187577040).

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

61573680 is a wasteful number, since it uses less digits than its factorization.

61573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61573680 is about 7846.8898297351. The cubic root of 61573680 is about 394.8799079454.

The spelling of 61573680 in words is "sixty-one million, five hundred seventy-three thousand, six hundred eighty".