1051471680 has 224 divisors, whose sum is σ = 3981809664. Its totient is φ = 229853184.

The previous prime is 1051471649. The next prime is 1051471697. The reversal of 1051471680 is 861741501.

It is a happy number.

1051471680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1051471680² = 2211185387684044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151159 + ... + 157961.

It is an arithmetic number, because the mean of its divisors is an integer number (17775936).

Almost surely, 2^1051471680 is an apocalyptic number.

1051471680 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 1051471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990904832).

1051471680 is an abundant number, since it is smaller than the sum of its proper divisors (2930337984).

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

1051471680 is a wasteful number, since it uses less digits than its factorization.

1051471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1051471680 is about 32426.4040559542. The cubic root of 1051471680 is about 1016.8709955106.

The spelling of 1051471680 in words is "one billion, fifty-one million, four hundred seventy-one thousand, six hundred eighty".