156406640 has 80 divisors (see below), whose sum is σ = 398412000. Its totient is φ = 56749056.

The previous prime is 156406639. The next prime is 156406669. The reversal of 156406640 is 46604651.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 156406597 and 156406606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60086 + ... + 62634.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^156406640 is an apocalyptic number.

156406640 is a gapful number since it is divisible by the number (10) 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 156406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199206000).

156406640 is an abundant number, since it is smaller than the sum of its proper divisors (242005360).

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

156406640 is a wasteful number, since it uses less digits than its factorization.

156406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 156406640 is about 12506.2640304769. The cubic root of 156406640 is about 538.7885967435.

The spelling of 156406640 in words is "one hundred fifty-six million, four hundred six thousand, six hundred forty".