61695952 has 40 divisors (see below), whose sum is σ = 124277760. Its totient is φ = 29639040.

The previous prime is 61695937. The next prime is 61695961. The reversal of 61695952 is 25959616.

It is a junction number, because it is equal to n+sod(n) for n = 61695899 and 61695908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85449 + ... + 86167.

It is an arithmetic number, because the mean of its divisors is an integer number (3106944).

Almost surely, 2^61695952 is an apocalyptic number.

61695952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62138880).

61695952 is an abundant number, since it is smaller than the sum of its proper divisors (62581808).

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

61695952 is a wasteful number, since it uses less digits than its factorization.

61695952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its digits is 145800, while the sum is 43.

The square root of 61695952 is about 7854.6770780217. The cubic root of 61695952 is about 395.1411171266.

It can be divided in two parts, 6169 and 5952, that added together give a palindrome (12121).

The spelling of 61695952 in words is "sixty-one million, six hundred ninety-five thousand, nine hundred fifty-two".