157661406 has 96 divisors (see below), whose sum is σ = 404951040. Its totient is φ = 43400448.

The previous prime is 157661377. The next prime is 157661419. The reversal of 157661406 is 604166751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467670 + ... + 468006.

It is an arithmetic number, because the mean of its divisors is an integer number (4218240).

Almost surely, 2^157661406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157661406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202475520).

157661406 is an abundant number, since it is smaller than the sum of its proper divisors (247289634).

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

157661406 is a wasteful number, since it uses less digits than its factorization.

157661406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157661406 is about 12556.3293203070. The cubic root of 157661406 is about 540.2255642023.

The spelling of 157661406 in words is "one hundred fifty-seven million, six hundred sixty-one thousand, four hundred six".