61952124 has 96 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 18240768.

The previous prime is 61952117. The next prime is 61952173. The reversal of 61952124 is 42125916.

61952124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61952124² = 7676131336222752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61952091 and 61952100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 487749 + ... + 487875.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^61952124 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 61952124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

61952124 is an abundant number, since it is smaller than the sum of its proper divisors (100618116).

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

61952124 is a wasteful number, since it uses less digits than its factorization.

61952124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 61952124 is about 7870.9671578530. The cubic root of 61952124 is about 395.6872594554.

The spelling of 61952124 in words is "sixty-one million, nine hundred fifty-two thousand, one hundred twenty-four".