61693632 has 336 divisors, whose sum is σ = 239645952. Its totient is φ = 14653440.

The previous prime is 61693607. The next prime is 61693637. The reversal of 61693632 is 23639616.

61693632 is a `hidden beast` number, since 6 + 16 + 9 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×61693632² = 7612208458702848, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (61693637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576523 + ... + 576629.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^61693632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

61693632 is an abundant number, since it is smaller than the sum of its proper divisors (177952320).

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

61693632 is a wasteful number, since it uses less digits than its factorization.

61693632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 61693632 is about 7854.5293939230. The cubic root of 61693632 is about 395.1361641335.

It can be divided in two parts, 6169 and 3632, that added together give a square (9801 = 99²).

The spelling of 61693632 in words is "sixty-one million, six hundred ninety-three thousand, six hundred thirty-two".