61200384 has 96 divisors (see below), whose sum is σ = 186600960. Its totient is φ = 17473536.

The previous prime is 61200371. The next prime is 61200389. The reversal of 61200384 is 48300216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61200389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42297 + ... + 43719.

It is an arithmetic number, because the mean of its divisors is an integer number (1943760).

Almost surely, 2^61200384 is an apocalyptic number.

61200384 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 61200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93300480).

61200384 is an abundant number, since it is smaller than the sum of its proper divisors (125400576).

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

61200384 is a wasteful number, since it uses less digits than its factorization.

61200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61200384 is about 7823.0674290843. The cubic root of 61200384 is about 394.0802914690.

The spelling of 61200384 in words is "sixty-one million, two hundred thousand, three hundred eighty-four".