32861408 has 48 divisors (see below), whose sum is σ = 70897680. Its totient is φ = 14923776.

The previous prime is 32861401. The next prime is 32861447. The reversal of 32861408 is 80416823.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32861401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14735 + ... + 16817.

It is an arithmetic number, because the mean of its divisors is an integer number (1477035).

Almost surely, 2^32861408 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 32861408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448840).

32861408 is an abundant number, since it is smaller than the sum of its proper divisors (38036272).

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

32861408 is a wasteful number, since it uses less digits than its factorization.

32861408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 32861408 is about 5732.4870693269. The cubic root of 32861408 is about 320.3037740379.

The spelling of 32861408 in words is "thirty-two million, eight hundred sixty-one thousand, four hundred eight".