32685840 has 120 divisors (see below), whose sum is σ = 119778048. Its totient is φ = 7921920.

The previous prime is 32685839. The next prime is 32685841. The reversal of 32685840 is 4858623.

It is an interprime number because it is at equal distance from previous prime (32685839) and next prime (32685841).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 32685795 and 32685804.

It is not an unprimeable number, because it can be changed into a prime (32685841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5857 + ... + 9983.

Almost surely, 2^32685840 is an apocalyptic number.

32685840 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 32685840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59889024).

32685840 is an abundant number, since it is smaller than the sum of its proper divisors (87092208).

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

32685840 is a wasteful number, since it uses less digits than its factorization.

32685840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 32685840 is about 5717.1531377076. The cubic root of 32685840 is about 319.7323282452.

The spelling of 32685840 in words is "thirty-two million, six hundred eighty-five thousand, eight hundred forty".