61957224 has 192 divisors, whose sum is σ = 207043200. Its totient is φ = 16982784.

The previous prime is 61957219. The next prime is 61957229. The reversal of 61957224 is 42275916.

61957224 is a `hidden beast` number, since 61 + 9 + 572 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (61957219) and next prime (61957229).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (61957229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394554 + ... + 394710.

It is an arithmetic number, because the mean of its divisors is an integer number (1078350).

Almost surely, 2^61957224 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 61957224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521600).

61957224 is an abundant number, since it is smaller than the sum of its proper divisors (145085976).

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

61957224 is a wasteful number, since it uses less digits than its factorization.

61957224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 61957224 is about 7871.2911266196. The cubic root of 61957224 is about 395.6981170313.

The spelling of 61957224 in words is "sixty-one million, nine hundred fifty-seven thousand, two hundred twenty-four".