32961096 has 96 divisors (see below), whose sum is σ = 108051840. Its totient is φ = 8861184.

The previous prime is 32961059. The next prime is 32961121. The reversal of 32961096 is 69016923.

32961096 = T₃₅₀ + T₃₅₁ + ... + T₆₂₁.

32961096 is a `hidden beast` number, since 32 + 9 + 610 + 9 + 6 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 32961096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6645 + ... + 10491.

It is an arithmetic number, because the mean of its divisors is an integer number (1125540).

Almost surely, 2^32961096 is an apocalyptic number.

32961096 is a gapful number since it is divisible by the number (36) 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 32961096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025920).

32961096 is an abundant number, since it is smaller than the sum of its proper divisors (75090744).

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

32961096 is a wasteful number, since it uses less digits than its factorization.

32961096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 32961096 is about 5741.1754893924. The cubic root of 32961096 is about 320.6273370553.

It can be divided in two parts, 329 and 61096, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 32961096 in words is "thirty-two million, nine hundred sixty-one thousand, ninety-six".