32961000270 has 128 divisors (see below), whose sum is σ = 88895397888. Its totient is φ = 7752528000.

The previous prime is 32961000269. The next prime is 32961000301. The reversal of 32961000270 is 7200016923.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2134999 + ... + 2150381.

It is an arithmetic number, because the mean of its divisors is an integer number (694495296).

Almost surely, 2^32961000270 is an apocalyptic number.

32961000270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32961000270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447698944).

32961000270 is an abundant number, since it is smaller than the sum of its proper divisors (55934397618).

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

32961000270 is a wasteful number, since it uses less digits than its factorization.

32961000270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15598.

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 32961000270 in words is "thirty-two billion, nine hundred sixty-one million, two hundred seventy", and thus it is an aban number.