61801936 has 60 divisors (see below), whose sum is σ = 147516228. Its totient is φ = 24923136.

The previous prime is 61801921. The next prime is 61801979. The reversal of 61801936 is 63910816.

61801936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 29811600 = 5656^2 + 5460^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11010 + ... + 15646.

Almost surely, 2^61801936 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 61801936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73758114).

61801936 is an abundant number, since it is smaller than the sum of its proper divisors (85714292).

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

61801936 is a wasteful number, since it uses less digits than its factorization.

61801936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 61801936 is about 7861.4207367371. The cubic root of 61801936 is about 395.3672512426.

The spelling of 61801936 in words is "sixty-one million, eight hundred one thousand, nine hundred thirty-six".