61618480 has 120 divisors (see below), whose sum is σ = 181930320. Its totient is φ = 19192320.

The previous prime is 61618471. The next prime is 61618511. The reversal of 61618480 is 8481616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42406 + ... + 43834.

It is an arithmetic number, because the mean of its divisors is an integer number (1516086).

Almost surely, 2^61618480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90965160).

61618480 is an abundant number, since it is smaller than the sum of its proper divisors (120311840).

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

61618480 is a wasteful number, since it uses less digits than its factorization.

61618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 61618480 is about 7849.7439448685. The cubic root of 61618480 is about 394.9756541102.

It can be divided in two parts, 6161 and 8480, that added together give a palindrome (14641).

The spelling of 61618480 in words is "sixty-one million, six hundred eighteen thousand, four hundred eighty".