61952900 has 36 divisors (see below), whose sum is σ = 135967860. Its totient is φ = 24499200.

The previous prime is 61952887. The next prime is 61952941. The reversal of 61952900 is 925916.

It can be written as a sum of positive squares in 6 ways, for example, as 1517824 + 60435076 = 1232^2 + 7774^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5420 + ... + 12380.

It is an arithmetic number, because the mean of its divisors is an integer number (3776885).

Almost surely, 2^61952900 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 61952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67983930).

61952900 is an abundant number, since it is smaller than the sum of its proper divisors (74014960).

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

61952900 is a wasteful number, since it uses less digits than its factorization.

61952900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 61952900 is about 7871.0164527842. The cubic root of 61952900 is about 395.6889115485.

The spelling of 61952900 in words is "sixty-one million, nine hundred fifty-two thousand, nine hundred".