57067632 has 80 divisors (see below), whose sum is σ = 166656000. Its totient is φ = 18691776.

The previous prime is 57067631. The next prime is 57067639. The reversal of 57067632 is 23676075.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57067631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24369 + ... + 26607.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2^57067632 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 57067632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328000).

57067632 is an abundant number, since it is smaller than the sum of its proper divisors (109588368).

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

57067632 is a wasteful number, since it uses less digits than its factorization.

57067632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 57067632 is about 7554.3121460527. The cubic root of 57067632 is about 385.0022645619.

The spelling of 57067632 in words is "fifty-seven million, sixty-seven thousand, six hundred thirty-two".