61960000 has 70 divisors (see below), whose sum is σ = 153739850. Its totient is φ = 24768000.

The previous prime is 61959983. The next prime is 61960001. The reversal of 61960000 is 6916.

61960000 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 5 ways, for example, as 29333056 + 32626944 = 5416^2 + 5712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61960001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 39226 + ... + 40774.

Almost surely, 2^61960000 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 61960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76869925).

61960000 is an abundant number, since it is smaller than the sum of its proper divisors (91779850).

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

61960000 is an equidigital number, since it uses as much as digits as its factorization.

61960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 61960000 is about 7871.4674616618. The cubic root of 61960000 is about 395.7040267084.

Adding to 61960000 its reverse (6916), we get a palindrome (61966916).

The spelling of 61960000 in words is "sixty-one million, nine hundred sixty thousand".