61952850 has 72 divisors (see below), whose sum is σ = 172645200. Its totient is φ = 16517520.

The previous prime is 61952843. The next prime is 61952867. The reversal of 61952850 is 5825916.

It is a happy number.

61952850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 9601 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (2397850).

Almost surely, 2^61952850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61952850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86322600).

61952850 is an abundant number, since it is smaller than the sum of its proper divisors (110692350).

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

61952850 is a wasteful number, since it uses less digits than its factorization.

61952850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 61952850 is about 7871.0132765737. The cubic root of 61952850 is about 395.6888050997.

It can be divided in two parts, 6195 and 2850, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 61952850 in words is "sixty-one million, nine hundred fifty-two thousand, eight hundred fifty".