1292861952 has 80 divisors (see below), whose sum is σ = 3827002080. Its totient is φ = 430949376.

The previous prime is 1292861909. The next prime is 1292861953. The reversal of 1292861952 is 2591682921.

It is a happy number.

1292861952 is a `hidden beast` number, since 1 + 2 + 9 + 28 + 619 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1292861898 and 1292861907.

It is not an unprimeable number, because it can be changed into a prime (1292861953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32938 + ... + 60585.

It is an arithmetic number, because the mean of its divisors is an integer number (47837526).

Almost surely, 2^1292861952 is an apocalyptic number.

1292861952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1292861952 is an abundant number, since it is smaller than the sum of its proper divisors (2534140128).

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

1292861952 is an frugal number, since it uses more digits than its factorization.

1292861952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93550 (or 93528 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1292861952 is about 35956.3895851627. The cubic root of 1292861952 is about 1089.3916735756.

The spelling of 1292861952 in words is "one billion, two hundred ninety-two million, eight hundred sixty-one thousand, nine hundred fifty-two".