157695768 has 96 divisors (see below), whose sum is σ = 447368400. Its totient is φ = 51466752.

The previous prime is 157695761. The next prime is 157695779. The reversal of 157695768 is 867596751.

157695768 is a `hidden beast` number, since 1 + 5 + 7 + 69 + 576 + 8 = 666.

157695768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157695761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150996 + ... + 1151132.

Almost surely, 2^157695768 is an apocalyptic number.

157695768 is a gapful number since it is divisible by the number (18) 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 157695768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223684200).

157695768 is an abundant number, since it is smaller than the sum of its proper divisors (289672632).

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

157695768 is a wasteful number, since it uses less digits than its factorization.

157695768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 215 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 157695768 is about 12557.6975596644. The cubic root of 157695768 is about 540.2648083921.

157695768 divided by its sum of digits (54) gives a palindrome (2920292).

It can be divided in two parts, 1576 and 95768, that added together give a square (97344 = 312²).

The spelling of 157695768 in words is "one hundred fifty-seven million, six hundred ninety-five thousand, seven hundred sixty-eight".