32640993 has 96 divisors (see below), whose sum is σ = 64496640. Its totient is φ = 15396480.

The previous prime is 32640991. The next prime is 32641013. The reversal of 32640993 is 39904623.

It is a happy number.

32640993 is a `hidden beast` number, since 3 + 2 + 640 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 32640993 - 2¹ = 32640991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32640991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487146 + ... + 487212.

It is an arithmetic number, because the mean of its divisors is an integer number (671840).

Almost surely, 2^32640993 is an apocalyptic number.

32640993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32640993 is a deficient number, since it is larger than the sum of its proper divisors (31855647).

32640993 is a wasteful number, since it uses less digits than its factorization.

32640993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 32640993 is about 5713.2296470560. The cubic root of 32640993 is about 319.5860304524.

It can be divided in two parts, 32640 and 993, that added together give a palindrome (33633).

The spelling of 32640993 in words is "thirty-two million, six hundred forty thousand, nine hundred ninety-three".