61337952 has 192 divisors, whose sum is σ = 198696960. Its totient is φ = 18289152.

The previous prime is 61337923. The next prime is 61337953. The reversal of 61337952 is 25973316.

61337952 is a `hidden beast` number, since 613 + 37 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61337953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482913 + ... + 483039.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 2^61337952 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 61337952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

61337952 is an abundant number, since it is smaller than the sum of its proper divisors (137359008).

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

61337952 is a wasteful number, since it uses less digits than its factorization.

61337952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 61337952 is about 7831.8549526916. The cubic root of 61337952 is about 394.3753455425.

The spelling of 61337952 in words is "sixty-one million, three hundred thirty-seven thousand, nine hundred fifty-two".