61418880 has 96 divisors (see below), whose sum is σ = 212106960. Its totient is φ = 16376832.

The previous prime is 61418869. The next prime is 61418899. The reversal of 61418880 is 8881416.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429 + ... + 11091.

Almost surely, 2^61418880 is an apocalyptic number.

61418880 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 61418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106053480).

61418880 is an abundant number, since it is smaller than the sum of its proper divisors (150688080).

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

61418880 is a wasteful number, since it uses less digits than its factorization.

61418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 61418880 is about 7837.0198417511. The cubic root of 61418880 is about 394.5487128231.

The spelling of 61418880 in words is "sixty-one million, four hundred eighteen thousand, eight hundred eighty".