920069280 has 480 divisors, whose sum is σ = 3606349824. Its totient is φ = 219469824.

The previous prime is 920069263. The next prime is 920069287. The reversal of 920069280 is 82960029.

It is a tau number, because it is divible by the number of its divisors (480).

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 (920069287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7244577 + ... + 7244703.

Almost surely, 2^920069280 is an apocalyptic number.

920069280 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 920069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803174912).

920069280 is an abundant number, since it is smaller than the sum of its proper divisors (2686280544).

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

920069280 is a wasteful number, since it uses less digits than its factorization.

920069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 920069280 is about 30332.6438016867. The cubic root of 920069280 is about 972.6132389952.

The spelling of 920069280 in words is "nine hundred twenty million, sixty-nine thousand, two hundred eighty".