1147225680 has 200 divisors, whose sum is σ = 4113736704. Its totient is φ = 296006400.

The previous prime is 1147225669. The next prime is 1147225687. The reversal of 1147225680 is 865227411.

It is a super-2 number, since 2×1147225680² = 2632253521702924800, which contains 22 as substring.

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 (1147225687) 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, 198025 + ... + 203735.

Almost surely, 2^1147225680 is an apocalyptic number.

1147225680 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 1147225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056868352).

1147225680 is an abundant number, since it is smaller than the sum of its proper divisors (2966511024).

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

1147225680 is a wasteful number, since it uses less digits than its factorization.

1147225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1147225680 is about 33870.7200986339. The cubic root of 1147225680 is about 1046.8463744516.

The spelling of 1147225680 in words is "one billion, one hundred forty-seven million, two hundred twenty-five thousand, six hundred eighty".