1151410680 has 512 divisors, whose sum is σ = 4810752000. Its totient is φ = 239708160.

The previous prime is 1151410643. The next prime is 1151410681. The reversal of 1151410680 is 860141511.

1151410680 = T₁₆₉ + T₁₇₀ + ... + T₁₉₀₄.

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 (1151410681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37142265 + ... + 37142295.

It is an arithmetic number, because the mean of its divisors is an integer number (9396000).

Almost surely, 2^1151410680 is an apocalyptic number.

1151410680 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 1151410680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405376000).

1151410680 is an abundant number, since it is smaller than the sum of its proper divisors (3659341320).

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

1151410680 is a wasteful number, since it uses less digits than its factorization.

1151410680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1151410680 is about 33932.4428828813. The cubic root of 1151410680 is about 1048.1177707906.

The spelling of 1151410680 in words is "one billion, one hundred fifty-one million, four hundred ten thousand, six hundred eighty".