32100480 has 96 divisors (see below), whose sum is σ = 110866860. Its totient is φ = 8558592.

The previous prime is 32100463. The next prime is 32100517. The reversal of 32100480 is 8400123.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 3968064 = 5304^2 + 1992^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2974 + ... + 8546.

Almost surely, 2^32100480 is an apocalyptic number.

32100480 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 32100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55433430).

32100480 is an abundant number, since it is smaller than the sum of its proper divisors (78766380).

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

32100480 is a wasteful number, since it uses less digits than its factorization.

32100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 32100480 is about 5665.7285497983. The cubic root of 32100480 is about 317.8121591495.

The spelling of 32100480 in words is "thirty-two million, one hundred thousand, four hundred eighty".