61557952 has 56 divisors (see below), whose sum is σ = 133868160. Its totient is φ = 27955200.

The previous prime is 61557949. The next prime is 61557953. The reversal of 61557952 is 25975516.

It is not an unprimeable number, because it can be changed into a prime (61557953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30577 + ... + 32527.

Almost surely, 2^61557952 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 61557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66934080).

61557952 is an abundant number, since it is smaller than the sum of its proper divisors (72310208).

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

61557952 is a wasteful number, since it uses less digits than its factorization.

61557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1999 counting only the distinct ones).

The product of its digits is 94500, while the sum is 40.

The square root of 61557952 is about 7845.8875852258. The cubic root of 61557952 is about 394.8462831885.

The spelling of 61557952 in words is "sixty-one million, five hundred fifty-seven thousand, nine hundred fifty-two".