992240640 has 264 divisors, whose sum is σ = 3504349368. Its totient is φ = 259522560.

The previous prime is 992240633. The next prime is 992240647. The reversal of 992240640 is 46042299.

992240640 is a `hidden beast` number, since 9 + 9 + 2 + 2 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (992240633) and next prime (992240647).

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 991494144 = 864^2 + 31488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 992240595 and 992240604.

It is not an unprimeable number, because it can be changed into a prime (992240647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810704 + ... + 2811056.

Almost surely, 2^992240640 is an apocalyptic number.

992240640 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 992240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752174684).

992240640 is an abundant number, since it is smaller than the sum of its proper divisors (2512108728).

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

992240640 is a wasteful number, since it uses less digits than its factorization.

992240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 992240640 is about 31499.8514282211. The cubic root of 992240640 is about 997.4068279380.

The spelling of 992240640 in words is "nine hundred ninety-two million, two hundred forty thousand, six hundred forty".