32770560 has 160 divisors (see below), whose sum is σ = 111367872. Its totient is φ = 8192000.

The previous prime is 32770559. The next prime is 32770579. The reversal of 32770560 is 6507723.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 130435 + ... + 130685.

Almost surely, 2^32770560 is an apocalyptic number.

32770560 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 32770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55683936).

32770560 is an abundant number, since it is smaller than the sum of its proper divisors (78597312).

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

32770560 is a wasteful number, since it uses less digits than its factorization.

32770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 32770560 is about 5724.5576248301. The cubic root of 32770560 is about 320.0083331163.

The spelling of 32770560 in words is "thirty-two million, seven hundred seventy thousand, five hundred sixty".