61980240 has 160 divisors (see below), whose sum is σ = 222842880. Its totient is φ = 13957632.

The previous prime is 61980229. The next prime is 61980241. The reversal of 61980240 is 4208916.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61980198 and 61980207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61980241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132487 + ... + 132953.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^61980240 is an apocalyptic number.

61980240 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 61980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

61980240 is an abundant number, since it is smaller than the sum of its proper divisors (160862640).

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

61980240 is a wasteful number, since it uses less digits than its factorization.

61980240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 61980240 is about 7872.7530127650. The cubic root of 61980240 is about 395.7471092217.

The spelling of 61980240 in words is "sixty-one million, nine hundred eighty thousand, two hundred forty".