1076613120 has 520 divisors, whose sum is σ = 4281599520. Its totient is φ = 256573440.

The previous prime is 1076613119. The next prime is 1076613121. The reversal of 1076613120 is 213166701.

It is an interprime number because it is at equal distance from previous prime (1076613119) and next prime (1076613121).

It is a super-2 number, since 2×1076613120² = 2318191620312268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076613121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247651 + ... + 18247709.

Almost surely, 2^1076613120 is an apocalyptic number.

1076613120 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 1076613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140799760).

1076613120 is an abundant number, since it is smaller than the sum of its proper divisors (3204986400).

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

1076613120 is an equidigital number, since it uses as much as digits as its factorization.

1076613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1076613120 is about 32811.7832493146. The cubic root of 1076613120 is about 1024.9119480182.

Adding to 1076613120 its reverse (213166701), we get a palindrome (1289779821).

The spelling of 1076613120 in words is "one billion, seventy-six million, six hundred thirteen thousand, one hundred twenty".