32252880 has 160 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 7395840.

The previous prime is 32252879. The next prime is 32252911. The reversal of 32252880 is 8825223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49839 + ... + 50481.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 2^32252880 is an apocalyptic number.

32252880 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 32252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

32252880 is an abundant number, since it is smaller than the sum of its proper divisors (82739760).

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

32252880 is a wasteful number, since it uses less digits than its factorization.

32252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 32252880 is about 5679.1619100005. The cubic root of 32252880 is about 318.3143128596.

It can be divided in two parts, 3225 and 2880, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 32252880 in words is "thirty-two million, two hundred fifty-two thousand, eight hundred eighty".