61149312 has 96 divisors (see below), whose sum is σ = 201127680. Its totient is φ = 17468928.

The previous prime is 61149307. The next prime is 61149343. The reversal of 61149312 is 21394116.

61149312 is a `hidden beast` number, since 611 + 49 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4273 + ... + 11855.

It is an arithmetic number, because the mean of its divisors is an integer number (2095080).

Almost surely, 2^61149312 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 61149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100563840).

61149312 is an abundant number, since it is smaller than the sum of its proper divisors (139978368).

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

61149312 is a wasteful number, since it uses less digits than its factorization.

61149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7595 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 61149312 is about 7819.8025550521. The cubic root of 61149312 is about 393.9706403608.

The spelling of 61149312 in words is "sixty-one million, one hundred forty-nine thousand, three hundred twelve".