61148736 has 112 divisors (see below), whose sum is σ = 196169280. Its totient is φ = 18524160.

The previous prime is 61148713. The next prime is 61148761. The reversal of 61148736 is 63784116.

61148736 is a `hidden beast` number, since 611 + 4 + 8 + 7 + 36 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61148736.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17400 + ... + 20616.

Almost surely, 2^61148736 is an apocalyptic number.

61148736 is a gapful number since it is divisible by the number (66) 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 61148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98084640).

61148736 is an abundant number, since it is smaller than the sum of its proper divisors (135020544).

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

61148736 is a wasteful number, since it uses less digits than its factorization.

61148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3233 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 61148736 is about 7819.7657253910. The cubic root of 61148736 is about 393.9694033461.

The spelling of 61148736 in words is "sixty-one million, one hundred forty-eight thousand, seven hundred thirty-six".