61828080 has 80 divisors (see below), whose sum is σ = 194347680. Its totient is φ = 16257024.

The previous prime is 61828027. The next prime is 61828141. The reversal of 61828080 is 8082816.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×61828080² = 7645422952972800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15756 + ... + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (2429346).

Almost surely, 2^61828080 is an apocalyptic number.

61828080 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 61828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97173840).

61828080 is an abundant number, since it is smaller than the sum of its proper divisors (132519600).

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

61828080 is a wasteful number, since it uses less digits than its factorization.

61828080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 61828080 is about 7863.0833646859. The cubic root of 61828080 is about 395.4229939636.

The spelling of 61828080 in words is "sixty-one million, eight hundred twenty-eight thousand, eighty".