32920420 has 48 divisors (see below), whose sum is σ = 75887280. Its totient is φ = 11920896.

The previous prime is 32920409. The next prime is 32920439. The reversal of 32920420 is 2402923.

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 30118144 = 1674^2 + 5488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32920391 and 32920400.

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, 12586 + ... + 14974.

It is an arithmetic number, because the mean of its divisors is an integer number (1580985).

Almost surely, 2^32920420 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 32920420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37943640).

32920420 is an abundant number, since it is smaller than the sum of its proper divisors (42966860).

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

32920420 is a wasteful number, since it uses less digits than its factorization.

32920420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 32920420 is about 5737.6319156948. The cubic root of 32920420 is about 320.4953915435.

The spelling of 32920420 in words is "thirty-two million, nine hundred twenty thousand, four hundred twenty".