61846464 has 56 divisors (see below), whose sum is σ = 164581840. Its totient is φ = 20496384.

The previous prime is 61846451. The next prime is 61846481. The reversal of 61846464 is 46464816.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36222 + ... + 37890.

Almost surely, 2^61846464 is an apocalyptic number.

61846464 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 61846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82290920).

61846464 is an abundant number, since it is smaller than the sum of its proper divisors (102735376).

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

61846464 is a wasteful number, since it uses less digits than its factorization.

61846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 61846464 is about 7864.2522848647. The cubic root of 61846464 is about 395.4621818533.

The spelling of 61846464 in words is "sixty-one million, eight hundred forty-six thousand, four hundred sixty-four".