1864840992 has 96 divisors (see below), whose sum is σ = 5601705984. Its totient is φ = 532128000.

The previous prime is 1864840981. The next prime is 1864841003. The reversal of 1864840992 is 2990484681.

It is an interprime number because it is at equal distance from previous prime (1864840981) and next prime (1864841003).

It is a tau number, because it is divible by the number of its divisors (96).

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, 772267 + ... + 774677.

It is an arithmetic number, because the mean of its divisors is an integer number (58351104).

Almost surely, 2^1864840992 is an apocalyptic number.

1864840992 is a gapful number since it is divisible by the number (12) 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 1864840992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800852992).

1864840992 is an abundant number, since it is smaller than the sum of its proper divisors (3736864992).

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

1864840992 is a wasteful number, since it uses less digits than its factorization.

1864840992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 1864840992 is about 43183.8047420558. The cubic root of 1864840992 is about 1230.8749568054.

The spelling of 1864840992 in words is "one billion, eight hundred sixty-four million, eight hundred forty thousand, nine hundred ninety-two".