1073577120 has 384 divisors, whose sum is σ = 4356882432. Its totient is φ = 215654400.

The previous prime is 1073577103. The next prime is 1073577133. The reversal of 1073577120 is 217753701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145292 + ... + 1146228.

It is an arithmetic number, because the mean of its divisors is an integer number (11346048).

Almost surely, 2^1073577120 is an apocalyptic number.

1073577120 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 1073577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178441216).

1073577120 is an abundant number, since it is smaller than the sum of its proper divisors (3283305312).

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

1073577120 is a wasteful number, since it uses less digits than its factorization.

1073577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 1073577120 is about 32765.4867200229. The cubic root of 1073577120 is about 1023.9476393311.

The spelling of 1073577120 in words is "one billion, seventy-three million, five hundred seventy-seven thousand, one hundred twenty".