1000950720 has 336 divisors, whose sum is σ = 3995464704. Its totient is φ = 207820800.

The previous prime is 1000950719. The next prime is 1000950767. The reversal of 1000950720 is 270590001.

1000950720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812505 + ... + 813735.

It is an arithmetic number, because the mean of its divisors is an integer number (11891264).

Almost surely, 2^1000950720 is an apocalyptic number.

1000950720 is a gapful number since it is divisible by the number (10) 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 1000950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997732352).

1000950720 is an abundant number, since it is smaller than the sum of its proper divisors (2994513984).

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

1000950720 is a wasteful number, since it uses less digits than its factorization.

1000950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1000950720 is about 31637.8052336125. The cubic root of 1000950720 is about 1000.3168062898.

The spelling of 1000950720 in words is "one billion, nine hundred fifty thousand, seven hundred twenty".