61464084 has 72 divisors (see below), whose sum is σ = 160941984. Its totient is φ = 18105600.

The previous prime is 61464083. The next prime is 61464113. The reversal of 61464084 is 48046416.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61464083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221754 + ... + 222030.

Almost surely, 2^61464084 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 61464084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80470992).

61464084 is an abundant number, since it is smaller than the sum of its proper divisors (99477900).

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

61464084 is a wasteful number, since it uses less digits than its factorization.

61464084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 61464084 is about 7839.9033157304. The cubic root of 61464084 is about 394.6454844036.

The spelling of 61464084 in words is "sixty-one million, four hundred sixty-four thousand, eighty-four".