57661000 has 96 divisors (see below), whose sum is σ = 142342200. Its totient is φ = 21859200.

The previous prime is 57660997. The next prime is 57661003. The reversal of 57661000 is 16675.

It is an interprime number because it is at equal distance from previous prime (57660997) and next prime (57661003).

It can be written as a sum of positive squares in 4 ways, for example, as 22448644 + 35212356 = 4738^2 + 5934^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (57661003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528946 + ... + 529054.

Almost surely, 2^57661000 is an apocalyptic number.

57661000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71171100).

57661000 is an abundant number, since it is smaller than the sum of its proper divisors (84681200).

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

57661000 is a wasteful number, since it uses less digits than its factorization.

57661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 57661000 is about 7593.4840488408. The cubic root of 57661000 is about 386.3320364215.

Adding to 57661000 its reverse (16675), we get a palindrome (57677675).

The spelling of 57661000 in words is "fifty-seven million, six hundred sixty-one thousand".