920010240 has 240 divisors, whose sum is σ = 3235806288. Its totient is φ = 241532928.

The previous prime is 920010227. The next prime is 920010253. The reversal of 920010240 is 42010029.

It is an interprime number because it is at equal distance from previous prime (920010227) and next prime (920010253).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681647 + ... + 1682193.

Almost surely, 2^920010240 is an apocalyptic number.

920010240 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 920010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617903144).

920010240 is an abundant number, since it is smaller than the sum of its proper divisors (2315796048).

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

920010240 is a wasteful number, since it uses less digits than its factorization.

920010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 920010240 is about 30331.6705771377. The cubic root of 920010240 is about 972.5924346510.

Adding to 920010240 its reverse (42010029), we get a palindrome (962020269).

The spelling of 920010240 in words is "nine hundred twenty million, ten thousand, two hundred forty".