32364640 has 192 divisors, whose sum is σ = 99283968. Its totient is φ = 9676800.

The previous prime is 32364637. The next prime is 32364671. The reversal of 32364640 is 4646323.

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

It is a junction number, because it is equal to n+sod(n) for n = 32364599 and 32364608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455805 + ... + 455875.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 2^32364640 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 32364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641984).

32364640 is an abundant number, since it is smaller than the sum of its proper divisors (66919328).

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

32364640 is a wasteful number, since it uses less digits than its factorization.

32364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 32364640 is about 5688.9928809940. The cubic root of 32364640 is about 318.6815544437.

The spelling of 32364640 in words is "thirty-two million, three hundred sixty-four thousand, six hundred forty".