9251292960 has 768 divisors, whose sum is σ = 40419025920. Its totient is φ = 1924300800.

The previous prime is 9251292959. The next prime is 9251292961. The reversal of 9251292960 is 692921529.

It is an interprime number because it is at equal distance from previous prime (9251292959) and next prime (9251292961).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9251292961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39705004 + ... + 39705236.

It is an arithmetic number, because the mean of its divisors is an integer number (52628940).

Almost surely, 2^9251292960 is an apocalyptic number.

9251292960 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 9251292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209512960).

9251292960 is an abundant number, since it is smaller than the sum of its proper divisors (31167732960).

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

9251292960 is a wasteful number, since it uses less digits than its factorization.

9251292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9251292960 is about 96183.6418524481. The cubic root of 9251292960 is about 2099.2660292141.

The spelling of 9251292960 in words is "nine billion, two hundred fifty-one million, two hundred ninety-two thousand, nine hundred sixty".