1061633460 has 72 divisors (see below), whose sum is σ = 3030199200. Its totient is φ = 277716608.

The previous prime is 1061633453. The next prime is 1061633467. The reversal of 1061633460 is 643361601.

It is an interprime number because it is at equal distance from previous prime (1061633453) and next prime (1061633467).

It is a super-2 number, since 2×1061633460² = 2254131206783143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061633467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165391 + ... + 171689.

It is an arithmetic number, because the mean of its divisors is an integer number (42086100).

Almost surely, 2^1061633460 is an apocalyptic number.

1061633460 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 1061633460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515099600).

1061633460 is an abundant number, since it is smaller than the sum of its proper divisors (1968565740).

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

1061633460 is a wasteful number, since it uses less digits than its factorization.

1061633460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1061633460 is about 32582.7171979257. The cubic root of 1061633460 is about 1020.1362947437.

The spelling of 1061633460 in words is "one billion, sixty-one million, six hundred thirty-three thousand, four hundred sixty".