920870496 has 288 divisors, whose sum is σ = 3305510208. Its totient is φ = 236666880.

The previous prime is 920870491. The next prime is 920870539. The reversal of 920870496 is 694078029.

It is a happy number.

920870496 is a `hidden beast` number, since 92 + 0 + 8 + 70 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920870491) 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, 1074100 + ... + 1074956.

It is an arithmetic number, because the mean of its divisors is an integer number (11477466).

Almost surely, 2^920870496 is an apocalyptic number.

920870496 is a gapful number since it is divisible by the number (96) 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 920870496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652755104).

920870496 is an abundant number, since it is smaller than the sum of its proper divisors (2384639712).

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

920870496 is a wasteful number, since it uses less digits than its factorization.

920870496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 920870496 is about 30345.8480850346. The cubic root of 920870496 is about 972.8954812178.

The spelling of 920870496 in words is "nine hundred twenty million, eight hundred seventy thousand, four hundred ninety-six".