1093417920 has 448 divisors, whose sum is σ = 4476902400. Its totient is φ = 246067200.

The previous prime is 1093417903. The next prime is 1093417921. The reversal of 1093417920 is 297143901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093417921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6108391 + ... + 6108569.

Almost surely, 2^1093417920 is an apocalyptic number.

1093417920 is a gapful number since it is divisible by the number (10) 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 1093417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238451200).

1093417920 is an abundant number, since it is smaller than the sum of its proper divisors (3383484480).

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

1093417920 is a wasteful number, since it uses less digits than its factorization.

1093417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1093417920 is about 33066.8704294797. The cubic root of 1093417920 is about 1030.2170403841.

The spelling of 1093417920 in words is "one billion, ninety-three million, four hundred seventeen thousand, nine hundred twenty".