32692968 has 96 divisors (see below), whose sum is σ = 110410560. Its totient is φ = 8490240.

The previous prime is 32692967. The next prime is 32692969. The reversal of 32692968 is 86929623.

It is an interprime number because it is at equal distance from previous prime (32692967) and next prime (32692969).

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

It is not an unprimeable number, because it can be changed into a prime (32692963) 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, 2596 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (1150110).

Almost surely, 2^32692968 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 32692968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55205280).

32692968 is an abundant number, since it is smaller than the sum of its proper divisors (77717592).

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

32692968 is a wasteful number, since it uses less digits than its factorization.

32692968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5920 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 32692968 is about 5717.7764909097. The cubic root of 32692968 is about 319.7555685473.

The spelling of 32692968 in words is "thirty-two million, six hundred ninety-two thousand, nine hundred sixty-eight".