61958336 has 112 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 25497600.

The previous prime is 61958333. The next prime is 61958341. The reversal of 61958336 is 63385916.

It is a junction number, because it is equal to n+sod(n) for n = 61958293 and 61958302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61958333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370925 + ... + 371091.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^61958336 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 61958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

61958336 is an abundant number, since it is smaller than the sum of its proper divisors (85516096).

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

61958336 is a wasteful number, since it uses less digits than its factorization.

61958336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 61958336 is about 7871.3617627447. The cubic root of 61958336 is about 395.7004843294.

The spelling of 61958336 in words is "sixty-one million, nine hundred fifty-eight thousand, three hundred thirty-six".