1902120816 has 160 divisors (see below), whose sum is σ = 5245378560. Its totient is φ = 593049600.

The previous prime is 1902120809. The next prime is 1902120823. The reversal of 1902120816 is 6180212091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1902120809) and next prime (1902120823).

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 31 ways as a sum of consecutive naturals, for example, 7018761 + ... + 7019031.

It is an arithmetic number, because the mean of its divisors is an integer number (32783616).

Almost surely, 2^1902120816 is an apocalyptic number.

1902120816 is a gapful number since it is divisible by the number (16) 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 1902120816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

1902120816 is an abundant number, since it is smaller than the sum of its proper divisors (3343257744).

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

1902120816 is a wasteful number, since it uses less digits than its factorization.

1902120816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1902120816 is about 43613.3100784611. The cubic root of 1902120816 is about 1239.0229938519.

The spelling of 1902120816 in words is "one billion, nine hundred two million, one hundred twenty thousand, eight hundred sixteen".