920745840 has 320 divisors, whose sum is σ = 3498633216. Its totient is φ = 195526656.

The previous prime is 920745817. The next prime is 920745863. The reversal of 920745840 is 48547029.

It is an interprime number because it is at equal distance from previous prime (920745817) and next prime (920745863).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2941524 + ... + 2941836.

Almost surely, 2^920745840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749316608).

920745840 is an abundant number, since it is smaller than the sum of its proper divisors (2577887376).

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

920745840 is a wasteful number, since it uses less digits than its factorization.

920745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 920745840 is about 30343.7940936858. The cubic root of 920745840 is about 972.8515797382.

The spelling of 920745840 in words is "nine hundred twenty million, seven hundred forty-five thousand, eight hundred forty".