1917048672 has 288 divisors, whose sum is σ = 6857270784. Its totient is φ = 493516800.

The previous prime is 1917048671. The next prime is 1917048691. The reversal of 1917048672 is 2768407191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1917048672² = 7350151221633927168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1917048671) 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, 3037797 + ... + 3038427.

It is an arithmetic number, because the mean of its divisors is an integer number (23809968).

Almost surely, 2^1917048672 is an apocalyptic number.

1917048672 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 1917048672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428635392).

1917048672 is an abundant number, since it is smaller than the sum of its proper divisors (4940222112).

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

1917048672 is a wasteful number, since it uses less digits than its factorization.

1917048672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1917048672 is about 43784.1143795327. The cubic root of 1917048672 is about 1242.2558381381.

The spelling of 1917048672 in words is "one billion, nine hundred seventeen million, forty-eight thousand, six hundred seventy-two".