61348864 has 44 divisors (see below), whose sum is σ = 123687928. Its totient is φ = 30412800.

The previous prime is 61348823. The next prime is 61348867. The reversal of 61348864 is 46884316.

It is a super-2 number, since 2×61348864² = 7527366228180992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61348867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185179 + ... + 185509.

Almost surely, 2^61348864 is an apocalyptic number.

61348864 is a gapful number since it is divisible by the number (64) 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 61348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61843964).

61348864 is an abundant number, since it is smaller than the sum of its proper divisors (62339064).

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

61348864 is a wasteful number, since it uses less digits than its factorization.

61348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 61348864 is about 7832.5515638264. The cubic root of 61348864 is about 394.3987305674.

The spelling of 61348864 in words is "sixty-one million, three hundred forty-eight thousand, eight hundred sixty-four".