61675152 has 240 divisors, whose sum is σ = 210569856. Its totient is φ = 15206400.

The previous prime is 61675129. The next prime is 61675153. The reversal of 61675152 is 25157616.

It is a super-3 number, since 3×61675152³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61675153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504252 + ... + 1504292.

Almost surely, 2^61675152 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 61675152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105284928).

61675152 is an abundant number, since it is smaller than the sum of its proper divisors (148894704).

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

61675152 is a wasteful number, since it uses less digits than its factorization.

61675152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 61675152 is about 7853.3529145200. The cubic root of 61675152 is about 395.0967065466.

The spelling of 61675152 in words is "sixty-one million, six hundred seventy-five thousand, one hundred fifty-two".