57661240 has 192 divisors, whose sum is σ = 170069760. Its totient is φ = 17418240.

The previous prime is 57661217. The next prime is 57661249. The reversal of 57661240 is 4216675.

57661240 = T₃₃₇ + T₃₃₈ + ... + T₇₂₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57661249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789844 + ... + 789916.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 2^57661240 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 57661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034880).

57661240 is an abundant number, since it is smaller than the sum of its proper divisors (112408520).

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

57661240 is a wasteful number, since it uses less digits than its factorization.

57661240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 57661240 is about 7593.4998518470. The cubic root of 57661240 is about 386.3325724254.

It can be divided in two parts, 576 and 61240, that added together give a palindrome (61816).

The spelling of 57661240 in words is "fifty-seven million, six hundred sixty-one thousand, two hundred forty".