61949520 has 120 divisors (see below), whose sum is σ = 209882400. Its totient is φ = 16374528.

The previous prime is 61949497. The next prime is 61949543. The reversal of 61949520 is 2594916.

It is an interprime number because it is at equal distance from previous prime (61949497) and next prime (61949543).

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99771 + ... + 100389.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 2^61949520 is an apocalyptic number.

61949520 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 61949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104941200).

61949520 is an abundant number, since it is smaller than the sum of its proper divisors (147932880).

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

61949520 is a wasteful number, since it uses less digits than its factorization.

61949520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 61949520 is about 7870.8017380696. The cubic root of 61949520 is about 395.6817154752.

The spelling of 61949520 in words is "sixty-one million, nine hundred forty-nine thousand, five hundred twenty".