61468920 has 96 divisors (see below), whose sum is σ = 202597200. Its totient is φ = 16160256.

The previous prime is 61468919. The next prime is 61468931. The reversal of 61468920 is 2986416.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25111 + ... + 27449.

Almost surely, 2^61468920 is an apocalyptic number.

61468920 is a gapful number since it is divisible by the number (60) 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 61468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101298600).

61468920 is an abundant number, since it is smaller than the sum of its proper divisors (141128280).

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

61468920 is a wasteful number, since it uses less digits than its factorization.

61468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61468920 is about 7840.2117318348. The cubic root of 61468920 is about 394.6558343803.

The spelling of 61468920 in words is "sixty-one million, four hundred sixty-eight thousand, nine hundred twenty".