32742640 has 80 divisors (see below), whose sum is σ = 88565760. Its totient is φ = 11024640.

The previous prime is 32742637. The next prime is 32742659. The reversal of 32742640 is 4624723.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 32742599 and 32742608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32545 + ... + 33535.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^32742640 is an apocalyptic number.

32742640 is the 3304-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44282880).

32742640 is an abundant number, since it is smaller than the sum of its proper divisors (55823120).

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

32742640 is a wasteful number, since it uses less digits than its factorization.

32742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 32742640 is about 5722.1184888116. The cubic root of 32742640 is about 319.9174266111.

The spelling of 32742640 in words is "thirty-two million, seven hundred forty-two thousand, six hundred forty".