61347264 has 112 divisors (see below), whose sum is σ = 182977536. Its totient is φ = 17971200.

The previous prime is 61347263. The next prime is 61347289. The reversal of 61347264 is 46274316.

It is a happy number.

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 (61347263) 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, 65004 + ... + 65940.

It is an arithmetic number, because the mean of its divisors is an integer number (1633728).

Almost surely, 2^61347264 is an apocalyptic number.

61347264 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 61347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91488768).

61347264 is an abundant number, since it is smaller than the sum of its proper divisors (121630272).

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

61347264 is a wasteful number, since it uses less digits than its factorization.

61347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 61347264 is about 7832.4494253075. The cubic root of 61347264 is about 394.3953018516.

The spelling of 61347264 in words is "sixty-one million, three hundred forty-seven thousand, two hundred sixty-four".