261624384 has 224 divisors, whose sum is σ = 901232640. Its totient is φ = 72866304.

The previous prime is 261624367. The next prime is 261624397. The reversal of 261624384 is 483426162.

261624384 is a `hidden beast` number, since 2 + 616 + 2 + 4 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519877 + ... + 520379.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^261624384 is an apocalyptic number.

261624384 is a gapful number since it is divisible by the number (24) 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 261624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

261624384 is an abundant number, since it is smaller than the sum of its proper divisors (639608256).

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

261624384 is a wasteful number, since it uses less digits than its factorization.

261624384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 261624384 is about 16174.8070776748. The cubic root of 261624384 is about 639.5768557110.

It can be divided in two parts, 2616 and 24384, that added together give a cube (27000 = 30³).

The spelling of 261624384 in words is "two hundred sixty-one million, six hundred twenty-four thousand, three hundred eighty-four".