1292401656 has 480 divisors, whose sum is σ = 4727479680. Its totient is φ = 326592000.

The previous prime is 1292401639. The next prime is 1292401681. The reversal of 1292401656 is 6561042921.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1292401656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12796006 + ... + 12796106.

It is an arithmetic number, because the mean of its divisors is an integer number (9848916).

Almost surely, 2^1292401656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292401656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363739840).

1292401656 is an abundant number, since it is smaller than the sum of its proper divisors (3435078024).

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

1292401656 is a wasteful number, since it uses less digits than its factorization.

1292401656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1292401656 is about 35949.9882614724. The cubic root of 1292401656 is about 1089.2623733179.

The spelling of 1292401656 in words is "one billion, two hundred ninety-two million, four hundred one thousand, six hundred fifty-six".