992543760 has 240 divisors, whose sum is σ = 3703334400. Its totient is φ = 244228608.

The previous prime is 992543737. The next prime is 992543767. The reversal of 992543760 is 67345299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×992543760³ (a number of 28 digits) contains 333 as substring.

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 (992543767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363681 + ... + 366399.

It is an arithmetic number, because the mean of its divisors is an integer number (15430560).

Almost surely, 2^992543760 is an apocalyptic number.

992543760 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 992543760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851667200).

992543760 is an abundant number, since it is smaller than the sum of its proper divisors (2710790640).

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

992543760 is a wasteful number, since it uses less digits than its factorization.

992543760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 992543760 is about 31504.6625120791. The cubic root of 992543760 is about 997.5083836708.

The spelling of 992543760 in words is "nine hundred ninety-two million, five hundred forty-three thousand, seven hundred sixty".