920346240 has 128 divisors (see below), whose sum is σ = 3200368320. Its totient is φ = 223109120.

The previous prime is 920346227. The next prime is 920346253. The reversal of 920346240 is 42643029.

It is an interprime number because it is at equal distance from previous prime (920346227) and next prime (920346253).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 920346198 and 920346207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669 + ... + 42908.

Almost surely, 2^920346240 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 920346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600184160).

920346240 is an abundant number, since it is smaller than the sum of its proper divisors (2280022080).

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

920346240 is a wasteful number, since it uses less digits than its factorization.

920346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43610 (or 43598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 920346240 is about 30337.2088366745. The cubic root of 920346240 is about 972.7108214794.

Adding to 920346240 its reverse (42643029), we get a palindrome (962989269).

The spelling of 920346240 in words is "nine hundred twenty million, three hundred forty-six thousand, two hundred forty".