61506984 has 128 divisors (see below), whose sum is σ = 194503680. Its totient is φ = 15744000.

The previous prime is 61506983. The next prime is 61507013. The reversal of 61506984 is 48960516.

It is not an unprimeable number, because it can be changed into a prime (61506983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153184 + ... + 153584.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 2^61506984 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 61506984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97251840).

61506984 is an abundant number, since it is smaller than the sum of its proper divisors (132996696).

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

61506984 is a wasteful number, since it uses less digits than its factorization.

61506984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 61506984 is about 7842.6388416145. The cubic root of 61506984 is about 394.7372797675.

The spelling of 61506984 in words is "sixty-one million, five hundred six thousand, nine hundred eighty-four".