61814480 has 120 divisors (see below), whose sum is σ = 180191592. Its totient is φ = 19547136.

The previous prime is 61814479. The next prime is 61814497. The reversal of 61814480 is 8441816.

It can be written as a sum of positive squares in 4 ways, for example, as 1658944 + 60155536 = 1288^2 + 7756^2 .

It is a congruent number.

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, 50354 + ... + 51566.

Almost surely, 2^61814480 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 61814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90095796).

61814480 is an abundant number, since it is smaller than the sum of its proper divisors (118377112).

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

61814480 is a wasteful number, since it uses less digits than its factorization.

61814480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 61814480 is about 7862.2185164240. The cubic root of 61814480 is about 395.3939987936.

The spelling of 61814480 in words is "sixty-one million, eight hundred fourteen thousand, four hundred eighty".