57609216 has 264 divisors, whose sum is σ = 204372480. Its totient is φ = 15261696.

The previous prime is 57609203. The next prime is 57609241. The reversal of 57609216 is 61290675.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225705 + ... + 1225751.

Almost surely, 2^57609216 is an apocalyptic number.

57609216 is a gapful number since it is divisible by the number (56) 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 57609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102186240).

57609216 is an abundant number, since it is smaller than the sum of its proper divisors (146763264).

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

57609216 is a wasteful number, since it uses less digits than its factorization.

57609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57609216 is about 7590.0735174305. The cubic root of 57609216 is about 386.2163498507.

The spelling of 57609216 in words is "fifty-seven million, six hundred nine thousand, two hundred sixteen".