61206464 has 56 divisors (see below), whose sum is σ = 133429248. Its totient is φ = 27626240.

The previous prime is 61206463. The next prime is 61206479. The reversal of 61206464 is 46460216.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61206463) 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, 159617 + ... + 159999.

Almost surely, 2^61206464 is an apocalyptic number.

61206464 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 61206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

61206464 is an abundant number, since it is smaller than the sum of its proper divisors (72222784).

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

61206464 is a wasteful number, since it uses less digits than its factorization.

61206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 61206464 is about 7823.4560138087. The cubic root of 61206464 is about 394.0933411085.

The spelling of 61206464 in words is "sixty-one million, two hundred six thousand, four hundred sixty-four".