1829040096 has 48 divisors (see below), whose sum is σ = 5170559184. Its totient is φ = 562781184.

The previous prime is 1829040077. The next prime is 1829040097. The reversal of 1829040096 is 6900409281.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829040097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731541 + ... + 734036.

It is an arithmetic number, because the mean of its divisors is an integer number (107719983).

Almost surely, 2^1829040096 is an apocalyptic number.

1829040096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1829040096 is an abundant number, since it is smaller than the sum of its proper divisors (3341519088).

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

1829040096 is a wasteful number, since it uses less digits than its factorization.

1829040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465603 (or 1465595 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1829040096 is about 42767.2783328563. The cubic root of 1829040096 is about 1222.9472985658.

The spelling of 1829040096 in words is "one billion, eight hundred twenty-nine million, forty thousand, ninety-six".