740632032 has 192 divisors, whose sum is σ = 2489356800. Its totient is φ = 209848320.

The previous prime is 740631953. The next prime is 740632037. The reversal of 740632032 is 230236047.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 740631987 and 740632005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740632037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840232 + ... + 841112.

It is an arithmetic number, because the mean of its divisors is an integer number (12965400).

Almost surely, 2^740632032 is an apocalyptic number.

740632032 is a gapful number since it is divisible by the number (72) 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 740632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244678400).

740632032 is an abundant number, since it is smaller than the sum of its proper divisors (1748724768).

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

740632032 is a wasteful number, since it uses less digits than its factorization.

740632032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 740632032 is about 27214.5555172228. Note that the first 4 decimals coincide. The cubic root of 740632032 is about 904.7616078947.

Adding to 740632032 its reverse (230236047), we get a palindrome (970868079).

The spelling of 740632032 in words is "seven hundred forty million, six hundred thirty-two thousand, thirty-two".