61985412 has 84 divisors (see below), whose sum is σ = 168475020. Its totient is φ = 19922112.

The previous prime is 61985411. The next prime is 61985423. The reversal of 61985412 is 21458916.

It can be written as a sum of positive squares in 2 ways, for example, as 50041476 + 11943936 = 7074^2 + 3456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61985411) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84198 + ... + 84930.

It is an arithmetic number, because the mean of its divisors is an integer number (2005655).

Almost surely, 2^61985412 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 61985412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84237510).

61985412 is an abundant number, since it is smaller than the sum of its proper divisors (106489608).

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

61985412 is a wasteful number, since it uses less digits than its factorization.

61985412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 61985412 is about 7873.0814805894. The cubic root of 61985412 is about 395.7581167467.

The spelling of 61985412 in words is "sixty-one million, nine hundred eighty-five thousand, four hundred twelve".