32420640 has 96 divisors (see below), whose sum is σ = 116726400. Its totient is φ = 7409664.

The previous prime is 32420629. The next prime is 32420651. The reversal of 32420640 is 4602423.

It is an interprime number because it is at equal distance from previous prime (32420629) and next prime (32420651).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 1465 + ... + 8184.

It is an arithmetic number, because the mean of its divisors is an integer number (1215900).

Almost surely, 2^32420640 is an apocalyptic number.

32420640 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 32420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58363200).

32420640 is an abundant number, since it is smaller than the sum of its proper divisors (84305760).

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

32420640 is a wasteful number, since it uses less digits than its factorization.

32420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 32420640 is about 5693.9125388436. The cubic root of 32420640 is about 318.8652516717.

The spelling of 32420640 in words is "thirty-two million, four hundred twenty thousand, six hundred forty".