32995020 has 96 divisors (see below), whose sum is σ = 98542080. Its totient is φ = 8225280.

The previous prime is 32995019. The next prime is 32995057. The reversal of 32995020 is 2059923.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117280 + ... + 117560.

It is an arithmetic number, because the mean of its divisors is an integer number (1026480).

Almost surely, 2^32995020 is an apocalyptic number.

32995020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32995020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49271040).

32995020 is an abundant number, since it is smaller than the sum of its proper divisors (65547060).

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

32995020 is a wasteful number, since it uses less digits than its factorization.

32995020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 32995020 is about 5744.1291768205. The cubic root of 32995020 is about 320.7372973182.

The spelling of 32995020 in words is "thirty-two million, nine hundred ninety-five thousand, twenty".