61267248 has 180 divisors, whose sum is σ = 210414360. Its totient is φ = 16547328.

The previous prime is 61267247. The next prime is 61267289. The reversal of 61267248 is 84276216.

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

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

Its product of digits (32256) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (61267247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133836 + ... + 134292.

Almost surely, 2^61267248 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 61267248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105207180).

61267248 is an abundant number, since it is smaller than the sum of its proper divisors (149147112).

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

61267248 is a wasteful number, since it uses less digits than its factorization.

61267248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 61267248 is about 7827.3397779833. The cubic root of 61267248 is about 394.2237556797.

The spelling of 61267248 in words is "sixty-one million, two hundred sixty-seven thousand, two hundred forty-eight".