61264320 has 112 divisors (see below), whose sum is σ = 209519520. Its totient is φ = 15077376.

The previous prime is 61264309. The next prime is 61264351. The reversal of 61264320 is 2346216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10026 + ... + 14934.

It is an arithmetic number, because the mean of its divisors is an integer number (1870710).

Almost surely, 2^61264320 is an apocalyptic number.

61264320 is a gapful number since it is divisible by the number (60) 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 61264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104759760).

61264320 is an abundant number, since it is smaller than the sum of its proper divisors (148255200).

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

61264320 is a wasteful number, since it uses less digits than its factorization.

61264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 61264320 is about 7827.1527390233. The cubic root of 61264320 is about 394.2174755132.

The spelling of 61264320 in words is "sixty-one million, two hundred sixty-four thousand, three hundred twenty".