61997580 has 72 divisors (see below), whose sum is σ = 189387744. Its totient is φ = 16416000.

The previous prime is 61997531. The next prime is 61997587. The reversal of 61997580 is 8579916.

61997580 is a `hidden beast` number, since 61 + 9 + 9 + 7 + 580 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61997587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26040 + ... + 28320.

Almost surely, 2^61997580 is an apocalyptic number.

61997580 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 61997580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94693872).

61997580 is an abundant number, since it is smaller than the sum of its proper divisors (127390164).

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

61997580 is a wasteful number, since it uses less digits than its factorization.

61997580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2442 counting only the distinct ones).

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

The square root of 61997580 is about 7873.8542023586. The cubic root of 61997580 is about 395.7840113862.

The spelling of 61997580 in words is "sixty-one million, nine hundred ninety-seven thousand, five hundred eighty".