61282080 has 72 divisors (see below), whose sum is σ = 209130012. Its totient is φ = 16341504.

The previous prime is 61282069. The next prime is 61282099. The reversal of 61282080 is 8028216.

It can be written as a sum of positive squares in 2 ways, for example, as 56972304 + 4309776 = 7548^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×61282080³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19839 + ... + 22718.

Almost surely, 2^61282080 is an apocalyptic number.

61282080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61282080 is an abundant number, since it is smaller than the sum of its proper divisors (147847932).

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

61282080 is a wasteful number, since it uses less digits than its factorization.

61282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42578 (or 42567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61282080 is about 7828.2871689789. The cubic root of 61282080 is about 394.2555652526.

The spelling of 61282080 in words is "sixty-one million, two hundred eighty-two thousand, eighty".