32258080 has 48 divisors (see below), whose sum is σ = 78283800. Its totient is φ = 12552192.

The previous prime is 32258059. The next prime is 32258101. The reversal of 32258080 is 8085223.

It is an interprime number because it is at equal distance from previous prime (32258059) and next prime (32258101).

It can be written as a sum of positive squares in 4 ways, for example, as 25765776 + 6492304 = 5076^2 + 2548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3196 + ... + 8644.

Almost surely, 2^32258080 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 32258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39141900).

32258080 is an abundant number, since it is smaller than the sum of its proper divisors (46025720).

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

32258080 is a wasteful number, since it uses less digits than its factorization.

32258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 32258080 is about 5679.6197055789. The cubic root of 32258080 is about 318.3314187788.

It can be divided in two parts, 322580 and 80, that multiplied together give a square (25806400 = 5080²).

The spelling of 32258080 in words is "thirty-two million, two hundred fifty-eight thousand, eighty".