32134968 has 80 divisors (see below), whose sum is σ = 91083960. Its totient is φ = 10584000.

The previous prime is 32134967. The next prime is 32134997. The reversal of 32134968 is 86943123.

It is a super-2 number, since 2×32134968² = 2065312336722048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32134967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65203 + ... + 65693.

Almost surely, 2^32134968 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 32134968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45541980).

32134968 is an abundant number, since it is smaller than the sum of its proper divisors (58948992).

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

32134968 is a wasteful number, since it uses less digits than its factorization.

32134968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 32134968 is about 5668.7712954396. The cubic root of 32134968 is about 317.9259350472.

The spelling of 32134968 in words is "thirty-two million, one hundred thirty-four thousand, nine hundred sixty-eight".