1020753888 has 144 divisors (see below), whose sum is σ = 3400475904. Its totient is φ = 265117440.

The previous prime is 1020753863. The next prime is 1020753907. The reversal of 1020753888 is 8883570201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41881 + ... + 61607.

It is an arithmetic number, because the mean of its divisors is an integer number (23614416).

Almost surely, 2^1020753888 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 1020753888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700237952).

1020753888 is an abundant number, since it is smaller than the sum of its proper divisors (2379722016).

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

1020753888 is a wasteful number, since it uses less digits than its factorization.

1020753888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19765 (or 19750 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1020753888 is about 31949.2392397691. The cubic root of 1020753888 is about 1006.8706487410.

The spelling of 1020753888 in words is "one billion, twenty million, seven hundred fifty-three thousand, eight hundred eighty-eight".