61949880 has 128 divisors (see below), whose sum is σ = 217440000. Its totient is φ = 15645312.

The previous prime is 61949821. The next prime is 61949891. The reversal of 61949880 is 8894916.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19011 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (1698750).

Almost surely, 2^61949880 is an apocalyptic number.

61949880 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 61949880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108720000).

61949880 is an abundant number, since it is smaller than the sum of its proper divisors (155490120).

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

61949880 is a wasteful number, since it uses less digits than its factorization.

61949880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 61949880 is about 7870.8246073712. The cubic root of 61949880 is about 395.6824819333.

The spelling of 61949880 in words is "sixty-one million, nine hundred forty-nine thousand, eight hundred eighty".