61521984 has 56 divisors (see below), whose sum is σ = 180868320. Its totient is φ = 20506752.

The previous prime is 61521983. The next prime is 61522001. The reversal of 61521984 is 48912516.

It is a super-3 number, since 3×61521984³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61521983) 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, 16074 + ... + 19529.

Almost surely, 2^61521984 is an apocalyptic number.

61521984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61521984 is an abundant number, since it is smaller than the sum of its proper divisors (119346336).

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

61521984 is a wasteful number, since it uses less digits than its factorization.

61521984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35624 (or 35608 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 61521984 is about 7843.5950940879. The cubic root of 61521984 is about 394.7693659770.

The spelling of 61521984 in words is "sixty-one million, five hundred twenty-one thousand, nine hundred eighty-four".