1076032320 has 448 divisors, whose sum is σ = 4073103360. Its totient is φ = 237772800.

The previous prime is 1076032319. The next prime is 1076032361. The reversal of 1076032320 is 232306701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 6219754 + ... + 6219926.

Almost surely, 2^1076032320 is an apocalyptic number.

1076032320 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 1076032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036551680).

1076032320 is an abundant number, since it is smaller than the sum of its proper divisors (2997071040).

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

1076032320 is a wasteful number, since it uses less digits than its factorization.

1076032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1076032320 is about 32802.9315763088. The cubic root of 1076032320 is about 1024.7276119357.

The spelling of 1076032320 in words is "one billion, seventy-six million, thirty-two thousand, three hundred twenty".