920145600 has 504 divisors, whose sum is σ = 3687488688. Its totient is φ = 215654400.

The previous prime is 920145571. The next prime is 920145617. The reversal of 920145600 is 6541029.

920145600 is a `hidden beast` number, since 9 + 201 + 456 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5860722 + ... + 5860878.

Almost surely, 2^920145600 is an apocalyptic number.

920145600 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 920145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843744344).

920145600 is an abundant number, since it is smaller than the sum of its proper divisors (2767343088).

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

920145600 is a wasteful number, since it uses less digits than its factorization.

920145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 920145600 is about 30333.9018261746. The cubic root of 920145600 is about 972.6401310969.

Adding to 920145600 its reverse (6541029), we get a palindrome (926686629).

The spelling of 920145600 in words is "nine hundred twenty million, one hundred forty-five thousand, six hundred".