61292880 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 14515200.

The previous prime is 61292851. The next prime is 61292893. The reversal of 61292880 is 8829216.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 562266 + ... + 562374.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^61292880 is an apocalyptic number.

61292880 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 61292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

61292880 is an abundant number, since it is smaller than the sum of its proper divisors (168513840).

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

61292880 is a wasteful number, since it uses less digits than its factorization.

61292880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61292880 is about 7828.9769446589. The cubic root of 61292880 is about 394.2787243337.

It can be divided in two parts, 6129 and 2880, that added together give a palindrome (9009).

The spelling of 61292880 in words is "sixty-one million, two hundred ninety-two thousand, eight hundred eighty".