952380720 has 160 divisors (see below), whose sum is σ = 3294551040. Its totient is φ = 252875520.

The previous prime is 952380713. The next prime is 952380721. The reversal of 952380720 is 27083259.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (952380721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584547 + ... + 586173.

It is an arithmetic number, because the mean of its divisors is an integer number (20590944).

Almost surely, 2^952380720 is an apocalyptic number.

952380720 is a gapful number since it is divisible by the number (90) 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 952380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647275520).

952380720 is an abundant number, since it is smaller than the sum of its proper divisors (2342170320).

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

952380720 is a wasteful number, since it uses less digits than its factorization.

952380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 952380720 is about 30860.6662274164. Note that the first 3 decimals coincide. The cubic root of 952380720 is about 983.8680667849.

The spelling of 952380720 in words is "nine hundred fifty-two million, three hundred eighty thousand, seven hundred twenty".