61835312 has 80 divisors (see below), whose sum is σ = 152347392. Its totient is φ = 23612160.

The previous prime is 61835311. The next prime is 61835317. The reversal of 61835312 is 21353816.

It is not an unprimeable number, because it can be changed into a prime (61835311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64823 + ... + 65769.

Almost surely, 2^61835312 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 61835312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76173696).

61835312 is an abundant number, since it is smaller than the sum of its proper divisors (90512080).

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

61835312 is a wasteful number, since it uses less digits than its factorization.

61835312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 61835312 is about 7863.5432217290. The cubic root of 61835312 is about 395.4384108400.

The spelling of 61835312 in words is "sixty-one million, eight hundred thirty-five thousand, three hundred twelve".