32146000 has 40 divisors (see below), whose sum is σ = 77733864. Its totient is φ = 12857600.

The previous prime is 32145989. The next prime is 32146001. The reversal of 32146000 is 64123.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 27583504 = 2136^2 + 5252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32146001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6037 + ... + 10036.

Almost surely, 2^32146000 is an apocalyptic number.

It is an amenable number.

32146000 is an abundant number, since it is smaller than the sum of its proper divisors (45587864).

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

32146000 is a wasteful number, since it uses less digits than its factorization.

32146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16096 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 32146000 is about 5669.7442623102. The cubic root of 32146000 is about 317.9623124251.

The spelling of 32146000 in words is "thirty-two million, one hundred forty-six thousand".