61952352 has 288 divisors, whose sum is σ = 222808320. Its totient is φ = 14622720.

The previous prime is 61952329. The next prime is 61952383. The reversal of 61952352 is 25325916.

It is a super-3 number, since 3×61952352³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136274 + ... + 2136302.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 2^61952352 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 61952352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111404160).

61952352 is an abundant number, since it is smaller than the sum of its proper divisors (160855968).

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

61952352 is a wasteful number, since it uses less digits than its factorization.

61952352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 61952352 is about 7870.9816414473. The cubic root of 61952352 is about 395.6877448657.

The spelling of 61952352 in words is "sixty-one million, nine hundred fifty-two thousand, three hundred fifty-two".