601157952 has 168 divisors, whose sum is σ = 1799246592. Its totient is φ = 191692800.

The previous prime is 601157917. The next prime is 601157957. The reversal of 601157952 is 259751106.

It is a super-2 number, since 2×601157952² = 722781766505668608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601157957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2339008 + ... + 2339264.

Almost surely, 2^601157952 is an apocalyptic number.

601157952 is a gapful number since it is divisible by the number (62) 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 601157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899623296).

601157952 is an abundant number, since it is smaller than the sum of its proper divisors (1198088640).

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

601157952 is a wasteful number, since it uses less digits than its factorization.

601157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 601157952 is about 24518.5226308601. The cubic root of 601157952 is about 843.9749024829.

The spelling of 601157952 in words is "six hundred one million, one hundred fifty-seven thousand, nine hundred fifty-two".