1285924920 has 64 divisors (see below), whose sum is σ = 4408888320. Its totient is φ = 293925504.

The previous prime is 1285924901. The next prime is 1285924979. The reversal of 1285924920 is 294295821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764592 + ... + 766271.

It is an arithmetic number, because the mean of its divisors is an integer number (68888880).

Almost surely, 2^1285924920 is an apocalyptic number.

1285924920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1285924920 is an abundant number, since it is smaller than the sum of its proper divisors (3122963400).

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

1285924920 is a wasteful number, since it uses less digits than its factorization.

1285924920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530884 (or 1530880 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1285924920 is about 35859.7953145302. The cubic root of 1285924920 is about 1087.4397503944.

The spelling of 1285924920 in words is "one billion, two hundred eighty-five million, nine hundred twenty-four thousand, nine hundred twenty".