1292861664 has 36 divisors (see below), whose sum is σ = 3676576176. Its totient is φ = 430953792.

The previous prime is 1292861653. The next prime is 1292861677. The reversal of 1292861664 is 4661682921.

1292861664 is a `hidden beast` number, since 1 + 2 + 9 + 28 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2244264 + ... + 2244839.

It is an arithmetic number, because the mean of its divisors is an integer number (102127116).

Almost surely, 2^1292861664 is an apocalyptic number.

It is an amenable number.

1292861664 is an abundant number, since it is smaller than the sum of its proper divisors (2383714512).

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

1292861664 is a wasteful number, since it uses less digits than its factorization.

1292861664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489119 (or 4489108 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1292861664 is about 35956.3855803110. The cubic root of 1292861664 is about 1089.3915926841.

The spelling of 1292861664 in words is "one billion, two hundred ninety-two million, eight hundred sixty-one thousand, six hundred sixty-four".