1896361152 has 336 divisors, whose sum is σ = 6304531968. Its totient is φ = 499752960.

The previous prime is 1896361121. The next prime is 1896361157. The reversal of 1896361152 is 2511636981.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1896361157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11355373 + ... + 11355539.

It is an arithmetic number, because the mean of its divisors is an integer number (18763488).

Almost surely, 2^1896361152 is an apocalyptic number.

1896361152 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 1896361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152265984).

1896361152 is an abundant number, since it is smaller than the sum of its proper divisors (4408170816).

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

1896361152 is a wasteful number, since it uses less digits than its factorization.

1896361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1896361152 is about 43547.2289818767. The cubic root of 1896361152 is about 1237.7711330817.

The spelling of 1896361152 in words is "one billion, eight hundred ninety-six million, three hundred sixty-one thousand, one hundred fifty-two".