61795980 has 144 divisors (see below), whose sum is σ = 203545440. Its totient is φ = 15562368.

The previous prime is 61795967. The next prime is 61796017. The reversal of 61795980 is 8959716.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194782 + ... + 195098.

It is an arithmetic number, because the mean of its divisors is an integer number (1413510).

Almost surely, 2^61795980 is an apocalyptic number.

61795980 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 61795980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101772720).

61795980 is an abundant number, since it is smaller than the sum of its proper divisors (141749460).

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

61795980 is a wasteful number, since it uses less digits than its factorization.

61795980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 61795980 is about 7861.0419156750. The cubic root of 61795980 is about 395.3545500062.

The spelling of 61795980 in words is "sixty-one million, seven hundred ninety-five thousand, nine hundred eighty".