61346880 has 336 divisors, whose sum is σ = 256763520. Its totient is φ = 13123584.

The previous prime is 61346869. The next prime is 61346881. The reversal of 61346880 is 8864316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61346881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342631 + ... + 342809.

Almost surely, 2^61346880 is an apocalyptic number.

61346880 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 61346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

61346880 is an abundant number, since it is smaller than the sum of its proper divisors (195416640).

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

61346880 is a wasteful number, since it uses less digits than its factorization.

61346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61346880 is about 7832.4249118648. The cubic root of 61346880 is about 394.3944789509.

It can be divided in two parts, 61346 and 880, that added together give a palindrome (62226).

The spelling of 61346880 in words is "sixty-one million, three hundred forty-six thousand, eight hundred eighty".