61680852 has 60 divisors (see below), whose sum is σ = 162624000. Its totient is φ = 20384784.

The previous prime is 61680847. The next prime is 61680889. The reversal of 61680852 is 25808616.

It is a happy number.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40399 + ... + 41897.

It is an arithmetic number, because the mean of its divisors is an integer number (2710400).

Almost surely, 2^61680852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61680852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312000).

61680852 is an abundant number, since it is smaller than the sum of its proper divisors (100943148).

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

61680852 is a wasteful number, since it uses less digits than its factorization.

61680852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61680852 is about 7853.7158084565. The cubic root of 61680852 is about 395.1088777467.

The spelling of 61680852 in words is "sixty-one million, six hundred eighty thousand, eight hundred fifty-two".