61557948 has 96 divisors (see below), whose sum is σ = 170016000. Its totient is φ = 19206720.

The previous prime is 61557943. The next prime is 61557949. The reversal of 61557948 is 84975516.

61557948 is a `hidden beast` number, since 6 + 1 + 557 + 94 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61557941) 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, 268698 + ... + 268926.

It is an arithmetic number, because the mean of its divisors is an integer number (1771000).

Almost surely, 2^61557948 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 61557948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85008000).

61557948 is an abundant number, since it is smaller than the sum of its proper divisors (108458052).

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

61557948 is a wasteful number, since it uses less digits than its factorization.

61557948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 61557948 is about 7845.8873303152. The cubic root of 61557948 is about 394.8462746362.

It can be divided in two parts, 61 and 557948, that added together give a square (558009 = 747²).

The spelling of 61557948 in words is "sixty-one million, five hundred fifty-seven thousand, nine hundred forty-eight".