992606400 has 588 divisors, whose sum is σ = 3924464592. Its totient is φ = 246343680.

The previous prime is 992606399. The next prime is 992606401. The reversal of 992606400 is 4606299.

992606400 is a `hidden beast` number, since 9 + 9 + 2 + 6 + 0 + 640 + 0 = 666.

992606400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (992606399) and next prime (992606401).

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 (992606401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26827182 + ... + 26827218.

Almost surely, 2^992606400 is an apocalyptic number.

992606400 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 992606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962232296).

992606400 is an abundant number, since it is smaller than the sum of its proper divisors (2931858192).

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

992606400 is a wasteful number, since it uses less digits than its factorization.

992606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 992606400 is about 31505.6566349600. The cubic root of 992606400 is about 997.5293676695.

The spelling of 992606400 in words is "nine hundred ninety-two million, six hundred six thousand, four hundred".