1051478064 has 240 divisors, whose sum is σ = 3781945440. Its totient is φ = 277240320.

The previous prime is 1051478039. The next prime is 1051478083. The reversal of 1051478064 is 4608741501.

It is a happy number.

1051478064 is a `hidden beast` number, since 1 + 0 + 514 + 7 + 80 + 64 = 666.

It is a super-2 number, since 2×1051478064² = 2211212238146376192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273274 + ... + 277094.

It is an arithmetic number, because the mean of its divisors is an integer number (15758106).

Almost surely, 2^1051478064 is an apocalyptic number.

1051478064 is a gapful number since it is divisible by the number (14) 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 1051478064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890972720).

1051478064 is an abundant number, since it is smaller than the sum of its proper divisors (2730467376).

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

1051478064 is a wasteful number, since it uses less digits than its factorization.

1051478064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3846 counting only the distinct ones).

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

The square root of 1051478064 is about 32426.5024941020. The cubic root of 1051478064 is about 1016.8730534805.

The spelling of 1051478064 in words is "one billion, fifty-one million, four hundred seventy-eight thousand, sixty-four".