1008880752 has 40 divisors (see below), whose sum is σ = 2843210880. Its totient is φ = 305721280.

The previous prime is 1008880723. The next prime is 1008880757. The reversal of 1008880752 is 2570888001.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1008880752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008880757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954852 + ... + 955907.

It is an arithmetic number, because the mean of its divisors is an integer number (71080272).

Almost surely, 2^1008880752 is an apocalyptic number.

1008880752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008880752 is an abundant number, since it is smaller than the sum of its proper divisors (1834330128).

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

1008880752 is a wasteful number, since it uses less digits than its factorization.

1008880752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910781 (or 1910775 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 1008880752 is about 31762.8832444411. The cubic root of 1008880752 is about 1002.9515305632.

The spelling of 1008880752 in words is "one billion, eight million, eight hundred eighty thousand, seven hundred fifty-two".