1046261664 has 96 divisors (see below), whose sum is σ = 3487559040. Its totient is φ = 298930176.

The previous prime is 1046261653. The next prime is 1046261707. The reversal of 1046261664 is 4661626401.

1046261664 is a `hidden beast` number, since 10 + 4 + 626 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80449 + ... + 92544.

It is an arithmetic number, because the mean of its divisors is an integer number (36328740).

Almost surely, 2^1046261664 is an apocalyptic number.

1046261664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1046261664 is an abundant number, since it is smaller than the sum of its proper divisors (2441297376).

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

1046261664 is a wasteful number, since it uses less digits than its factorization.

1046261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173019 (or 173005 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1046261664 is about 32345.9682804519. The cubic root of 1046261664 is about 1015.1886903602.

The spelling of 1046261664 in words is "one billion, forty-six million, two hundred sixty-one thousand, six hundred sixty-four".