32649840 has 120 divisors (see below), whose sum is σ = 110783088. Its totient is φ = 8616960.

The previous prime is 32649839. The next prime is 32649863. The reversal of 32649840 is 4894623.

It is a happy number.

32649840 is a `hidden beast` number, since 3 + 2 + 649 + 8 + 4 + 0 = 666.

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 = 32649795 and 32649804.

It is a congruent number.

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, 98475 + ... + 98805.

Almost surely, 2^32649840 is an apocalyptic number.

32649840 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 32649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55391544).

32649840 is an abundant number, since it is smaller than the sum of its proper divisors (78133248).

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

32649840 is a wasteful number, since it uses less digits than its factorization.

32649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 32649840 is about 5714.0038501912. The cubic root of 32649840 is about 319.6149013287.

It can be divided in two parts, 32649 and 840, that added together give a square (33489 = 183²).

The spelling of 32649840 in words is "thirty-two million, six hundred forty-nine thousand, eight hundred forty".