61943952 has 160 divisors (see below), whose sum is σ = 199352320. Its totient is φ = 16174080.

The previous prime is 61943941. The next prime is 61943969. The reversal of 61943952 is 25934916.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61943952.

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, 197748 + ... + 198060.

It is an arithmetic number, because the mean of its divisors is an integer number (1245952).

Almost surely, 2^61943952 is an apocalyptic number.

61943952 is a gapful number since it is divisible by the number (62) 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 61943952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99676160).

61943952 is an abundant number, since it is smaller than the sum of its proper divisors (137408368).

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

61943952 is a wasteful number, since it uses less digits than its factorization.

61943952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 61943952 is about 7870.4480177433. The cubic root of 61943952 is about 395.6698605444.

The spelling of 61943952 in words is "sixty-one million, nine hundred forty-three thousand, nine hundred fifty-two".